# LaTeX2HTML 96.1-e (April 9, 1996)
# Associate images original text with physical files.
$key = q/{_inline}$x^3+8${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto2;;displaystyle(3x+5)over(x+2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto3;;(x+3)(x^2+9)over2x+1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle128over7${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sin(5x)=5;sin;x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$sin2h=2sinhcosh${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto27;;x-27overx^1over3-3=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$cos(2x)=2;cos^2x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle11over4${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto2;;displaystyle3x^2-x-10overx^2-4=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle((27)^1over3)^2+3(27)^1over3+9${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_hto0;;sin;hoverh=0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle+infty${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyle+infty${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$A^3-B^3=(A-B)(A^2+AB+B^2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto2;;displaystyle(x-2)(3x+5)over(x-2)(x+2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto-2;;displaystylex+2over2xoverx^3+8${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto27;;x-27overx^1over3-3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyleA^3+B^3=(A+B)(A^2-AB+B^2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle5over3;(1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto2;;displaystyle3x^2-x-10overx^2-4${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$piover2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto3;;displaystyle(x^2-9)(x^2+9)over(x-3)(2x+1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto3;;5x^2-8x-13overx^2-5=displaystyle5(3)^2-8(3)-13over(3)^2-5=8over4=2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;sin(5x)over3x=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;tan(2h+pi)overh${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle{1}2{1}over{1}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(A-B)(A+B)=A^2-B^2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x=h+piover2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle^^^^''-7over0^+^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x-1=(x^13)^3-(1)^3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto-2;;displaystyle1overx+displaystyle1over2overx^3+8=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;1overh;2sinhcoshovercos2h${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle((1)^1over4+1)((1)^1over2+1)over((1)^2over3+(1)^1over3+1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=-displaystyle1over6${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto3;;displaystylex^4-81over2x^2-5x-3=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$+infty${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto4;;3-sqrtx+5overx-4=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;5over5;sin(5x)over3x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;x^2-7overx^2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto4;;-(x-4)over(x-4)(3+sqrtx+5)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;sin(5x)over3x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;2;(cos;x+1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto3;;displaystyle(x-3)(x+3)(x^2+9)over(x-3)(2x+1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto27;;(x^1over3)^3-3^3overx^1over3-3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto-2;;displaystyle1overx+displaystyle1over2overx^3+8${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylecos;x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$tan(A+B)=displaystyletanA+tanBover1-tanAtanB${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;1overh;tan2h+tanpiover1-tan2htanpi${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_hto0;;sinhoverh=1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;(2;cos^2x-1)-1overcos;x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyle1overx^3+8${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto1;;x^1over3-1overx^1over4-1=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto3;;displaystylex^4-81over2x^2-5x-3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto4;;3-sqrtx+5overx-4${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto4;;-1over3+sqrtx+5${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;x^3-7xoverx^3=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;2;(cos;x-1);(cos;x+1)overcos;x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle((3)+3)((3)^2+9)over2(3)+1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto27;;(x^1over3-3)(;(x^1over3)^2+3x^1over3+9;)overx^1over3-3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x-1=(x^1over4)^4-(1)^4${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto1;;x^1over3-1overx^1over4-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto4;;9-(x+5)over(x-4)(3+sqrtx+5)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle1over2(-2)((-2)^2-2(-2)+4)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;x^3-7xoverx^3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto27;;(;(x^1over3)^2+3x^1over3+9;)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;1overh;tan2h+{0}over1-tan2h{0}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x^1over3-3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto1;;x^3-1over(x-1)^2=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto4;;3-sqrtx+5overx-4;3+sqrtx+5over3+sqrtx+5${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle4${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto-2;;1over2x(x^2-2x+4)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle-infty${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;(x-1)(x^1over4+1)(x^1over2+1)over(x^2over3+x^1over3+1)(x-1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto3;;5x^2-8x-13overx^2-5${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyle-infty${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;2;(cos^2x-1)overcos;x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;(x^1over3-1)over(x^1over4-1);{(x^1over3)^2+(x^1over3)1+(1)^2}over{(x^1over3)^2+(x^1over3)1+(1)^2}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;1overh;tan2h${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto1;;x^3-1over(x-1)^2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;x-1over(x^2over3+x^1over3+1)(x^1over4-1);(x^1over4+1)(;(x^1over4)^2+(1)^2)over(x^1over4+1)(;(x^1over4)^2+(1)^2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;1overh;sin2hovercos2h${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle{1}2cos0overcos0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xtopiover2;;tan2xoverx-piover2=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle5over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=-displaystyle1over48${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;cos(2x)-1overcos;x-1=displaystyle^^^^''0over0^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle^^^^''-3over0^-^''${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;(x^1over4+1)(x^1over2+1)over(x^2over3+x^1over3+1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle2;(cos;0+1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$A^4-B^4=(A-B)(A+B)(A^2+B^2)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;(x-1)(x^2+x+1)over(x-1)(x-1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;2;cos^2x-2overcos;x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$h=x-piover2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xtopiover2;;tan2xoverx-piover2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;5over3;sin(5x)over5x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle3(2)+5over(2)+2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$-infty${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;x^4+5x-3over2-sqrtx^2+4${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_xto0;;cos(2x)-1overcos;x-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle-1over3+sqrt4+5${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto4;;4-xover(x-4)(3+sqrtx+5)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;x^2+x+1overx-1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_hto0;;sinhoverh;2coshovercos2h${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto1;;x-1over(x^2over3+x^1over3+1)(x^1over4-1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto-2;;x+2over2x;1overx^3+8${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto-2;;x+2over2x(x+2)(x^2-2x+4)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle4over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_xto0;;x(x^2-7)overx(x^2)${_inline}/;
$cached_env_img{$key} = ' 
';
1;