document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254557>Question 254557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of the limiting problem lim (x+h)^3 – x^3/ h<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 #186884 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=186884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,\frac{\left(x\,+\,h\right)^3\ -\ x^3}{h}\">\r<BR>\n" );
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document.write( "Expand the binomial:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,\frac{x^3\,+\,3x^2h\,+\,3xh^2\,+\,h^3\ -\ x^3}{h}\">\r<BR>\n" );
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document.write( "Collect terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,\frac{3x^2h\,+\,3xh^2\,+\,h^3}{h}\">\r<BR>\n" );
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document.write( "Factor the numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,\frac{h\left(3x^2\,+\,3xh\,+\,h^2\right)}{h}\">\r<BR>\n" );
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document.write( "Eliminate the common factor in the numerator and denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,3x^2\,+\,3xh\,+\,h^2\">\r<BR>\n" );
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document.write( "Evaluate the limit:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,3x^2\,+\,3xh\,+\,h^2\ =\ 3x^2\">\r<BR>\n" );
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document.write( "In general:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{h\rightarrow 0}\,\,\frac{\left(x\,+\,h\right)^n\ -\ x^n}{h}\ =\ nx^{n-1}\">\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" );
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