document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977471>Question 977471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! <BR>\n" );
document.write( "How do I graph f(x)=(x^2-1)/(x+1)?<BR>\n" );
document.write( "What does lim(x->1) (x^2-1)/(x+1) equal?\r<BR>\n" );
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document.write( "I graphed the function with a discontinuity at x=-1, but I'm not sure how my second question relates? Doesn't the limit have to be approaching an aymptote? Since it is approaching 1, I think y=0. I don't understand how that is possible if x=1 is not a discontinuity. My book says that there is a hole at x=1, but I have tried graphing it on a calculator and cannot seem to find it.\r<BR>\n" );
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document.write( "Thank you very much!\r<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 #599041 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-1%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-1%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "factors to \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B1%29%28x-1%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B1%29%28x-1%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When you cancel x+1 you are left with f(x)=x-1\r<BR>\n" );
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document.write( "but must respect the 'hole' at x=-1<BR>\n" );
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