document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=770584>Question 770584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use lim(x goes to 0) sinx/x = 1 to evaluate lim(x goes to 0) 1-cosx/x^2. I know the answer should be 1/2 but am not sure how to get that answer. Thanks!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469604 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=469604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Are you allowed to use l'Hôpital's Rule?\r<BR>\n" );
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document.write( "If so, take the derivatives of the numerator and denominator: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \frac{d}{dx}\left(\,1\ -\ \cos(x)\right)\ =\ \sin(x)\ \ \ \"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \frac{d(x^2)}{dx}\ =\ 2x\">.\r<BR>\n" );
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document.write( "Then take the limit <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \ \ \ \lim_{x\right{0}}\,\LARGE\frac{\sin(x)}{2x}\ =\ \large\lim_{x\right{0}}\,\LARGE\frac{1}{2}\ \cdot\  \large \lim_{x\right{0}}\,\LARGE\frac{\sin(x)}{x}\ =\ \frac{1}{2}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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