# LaTeX2HTML 96.1-e (April 9, 1996)
# Associate images original text with physical files.
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle(x+3)-(x+Deltax+3)overDeltax{sqrtx+3+sqrtx+Deltax+3}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle3cos3x{displaystylelim_Deltaxto0;;cos(3Deltax)-1over3Deltax}-3sin3x{displaystylelim_Deltaxto0;;sin(3Deltax)over3Deltax}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle3cos3x{0}-3sin3x{1}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle(x+Deltax)^2over3-x^2over3overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystylesqrtx+3-sqrtx+Deltax+3overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystylesqrtx+3-sqrtx+Deltax+3overDeltax;;sqrtx+3+sqrtx+Deltax+3oversqrtx+3+sqrtx+Deltax+3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle{4-sqrt(x+Deltax)+3}-{4-sqrtx+3}overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyledisplaystyle(x+Deltax)+1over2-(x+Deltax)-x+1over2-xoverDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle10xDeltax+5(Deltax)^2-3DeltaxoverDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle{cos3xcos(3Deltax)-sin3xsin(3Deltax)}-cos3xoverDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle-3sin3x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x)=displaystylex+1over2-x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle(x+Deltax)^2-x^2overDeltax{(x+Deltax)^4over3+(x+Deltax)^2over3x^2over3+x^4over3}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_hto0cos;h-1overh=0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle2over3x^1over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle{(x+Deltax)^2}^1over3-{x^2}^1over3overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyledisplaystyle1over2DeltaxoverDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyledisplaystyle1over2x+displaystyle1over2Deltax-displaystyle3over5-displaystyle1over2x+displaystyle3over5overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyle;SPMquot;0;SPMquot;over0${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystylex^2+2xDeltax+(Deltax)^2-x^2overDeltax{(x+Deltax)^4over3+(x+Deltax)^2over3x^2over3+x^4over3}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle(10x+5Deltax-3)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyleDeltax(10x+5Deltax-3)overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle1over2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle3over(2-x)(2-x)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle3over(2-x-Deltax)(2-x)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle-1oversqrtx+3+sqrtx+3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x)=displaystyledisplaystyle1over2x-displaystyle3over5${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle3Deltaxover(2-x-Deltax)(2-x)Deltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x)=displaystylex^2over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle3over(2-x)^2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyleDeltax{2x+Deltax}overDeltax{(x+Deltax)^4over3+(x+Deltax)^2over3x^2over3+x^4over3}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle-1over2sqrtx+3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;{displaystylecos3xcos(3Deltax)-1overDeltax-sin3x;sin(3Deltax)overDeltax}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystylecos3x(cos(3Deltax)-1)-sin3xsin(3Deltax)overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$cos(A+B)=cosAcosB-sinAsinB${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystylecos(3x+3Deltax)-cos3xoverDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle-DeltaxoverDeltax{sqrtx+3+sqrtx+Deltax+3}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x)=displaystyle4-sqrtx+3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystyle1overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle1over2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle2xover3x^4over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle2x+2Deltax+2-x^2-xDeltax-x-{2x-x^2-xDeltax+2-x-Deltax}over(2-x-Deltax)(2-x)Deltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle(x+Deltax+1)(2-x)-(x+1)(2-x-Deltax)over(2-x-Deltax)(2-x);;1overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$(A-B)(A+B)=A^2-B^2.${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle5x^2+10xDeltax+5(Deltax)^2-3x-3Deltax+7-3x^2+5x-7overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle{5(x+Deltax)^2-3(x+Deltax)+7}-{5x^2-3x+7}overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle2x+Deltaxover(x+Deltax)^4over3+(x+Deltax)^2over3x^2over3+x^4over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle10x-3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$A-B=(A^1over3)^3-(B^1over3)^3=(A^1over3-B^1over3)(A^2over3+A^1over3B^1over3+B^2over3)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystylecos3(x+Deltax)-cos3xoverDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Deltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$displaystylelim_hto0sin;hoverh=1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;{displaystyle3cos3xcos(3Deltax)-1over3Deltax-3sin3xsin(3Deltax)over3Deltax}${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f'(x)=displaystylelim_Deltaxto0;;displaystylef(x+Deltax)-f(x)overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x)=displaystylecos3x${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyledisplaystyle1over2(x+Deltax)-displaystyle3over5-{displaystyle1over2x-displaystyle3over5}overDeltax${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle{(x+Deltax)^2}^1over3-{x^2}^1over3overDeltax;;{(x+Deltax)^2}^2over3+{(x+Deltax)^2}^1over3{x^2}^1over3+{x^2}^2over3over{(x+Deltax)^2}^2over3+{(x+Deltax)^2}^1over3{x^2}^1over3+{x^2}^2over3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystylelim_Deltaxto0;;displaystyle-1oversqrtx+3+sqrtx+Deltax+3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$f(x)=displaystyle5x^2-3x+7${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$=displaystyle2xoverx^4over3+x^4over3+x^4over3${_inline}/;
$cached_env_img{$key} = ' 
';
1;