document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179377>Question 179377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve x^2+x/x+1<BR>\n" );
document.write( "as x approaches -1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134289 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume that you want to evaluate the limit as x approaches -1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-1%2C%28x%5E2%2Bx%29%2F%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-1%2C%28x%5E2%2Bx%29%2F%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given limit\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-1%2C%28x%28x%2B1%29%29%2F%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-1%2C%28x%28x%2B1%29%29%2F%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-1%2C%28x%2Across%28%28x%2B1%29%29%29%2Fcross%28%28x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-1%2C%28x%2Across%28%28x%2B1%29%29%29%2Fcross%28%28x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-1%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-1%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the limit of x as x approaches -1. In other words, simply plug in x=-1\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-1%2C%28x%5E2%2Bx%29%2F%28x%2B1%29%29=-1 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-1%2C%28x%5E2%2Bx%29%2F%28x%2B1%29%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: If you use a calculator to make the table of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2%2Bx%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2%2Bx%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you'll see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is NOT defined, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > values near that value get close to -1. </SPAN>\n" );
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