document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991901>Question 991901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, please help me in finding this. lim&#9516;(x&#8594;5) ((x-5)/(x^2-5))<BR>\n" );
document.write( "Which is correct? a, b, c or d? Would very much appreciate detailed workings if possible so I can better understand this question. Much Thanks.<BR>\n" );
document.write( "a) 0<BR>\n" );
document.write( "b) 10<BR>\n" );
document.write( "c) 20<BR>\n" );
document.write( "d) The limit is not defined.<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 #611620 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the answer for this one would be 0.\r<BR>\n" );
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document.write( "the equation is (x-5) / (x^2 - 5).\r<BR>\n" );
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document.write( "when x = 5, this becomes 0 / 20 which is equal to 0.\r<BR>\n" );
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document.write( "if you said as x approaches sqrt(5), then the answer would be undefined.\r<BR>\n" );
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document.write( "that's because at x = sqrt(5), the denominator of x^2 - 5 would be equal to 0.\r<BR>\n" );
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document.write( "this can be seen on the graph.\r<BR>\n" );
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document.write( "in fact, the graph is undefined when x is equal to plus or minus sqrt(5).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/092405.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the sqrt(5) is equal to 2.236 rounded to 3 decimal places.\r<BR>\n" );
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