document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669898>Question 669898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having some issues with limits and am trying to get my homework done.  I had 30 problems and was able to do all but the below.   …if you have time, can you please help me with this.  \r<BR>\n" );
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document.write( "Thanks.  <BR>\n" );
document.write( "Bob\r<BR>\n" );
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document.write( "1. The limit as X approaches 4 of the absolute value of (X - 4) divided by<BR>\n" );
document.write( "the quantity (X^2 - 16).  \r<BR>\n" );
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document.write( "2. The limit of f(x) as x approaches 9 if the square root of (X + 7) <=<BR>\n" );
document.write( "f(x) <= (x - 1)/2 using the squeeze theorem.  \r<BR>\n" );
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document.write( "3. The limit as x approaches 1 of (x-1)^2 times the cos(1/(x-1)) using the<BR>\n" );
document.write( "squeeze theorem.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416627 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=416627\">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( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{x\,\rightarrow\,4}\,\frac{x\ -\ 4}{x^2\ -\ 16}\">\r<BR>\n" );
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document.write( "Is the indeterminate form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{0}{0}\">, so use L'Hôpital's Rule.  Take the derivative of numerator and denominator, then evaluate the limit again.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{x\,\rightarrow\,4}\,\frac{x\ -\ 4}{x^2\ -\ 16}\ =\ \lim_{x\,\rightarrow\,4}\,\frac{1}{2x}\ =\ \frac{1}{8}\">\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( "My calculator said it, I believe it, that settles it<BR>\n" );
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