document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944774>Question 944774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello\r<BR>\n" );
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document.write( "I am completely stuck on this question. I would appreciate any help possible! Also, I can't use L'Hopital's rule on this question.\r<BR>\n" );
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document.write( "lim x->2, ((sqrtx-sqrt2)/(x-2))\r<BR>\n" );
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document.write( "Thanks!\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576125 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recognize that the denominator is the difference of two squares.<BR>\n" );
document.write( "Use a substitution,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29=u%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29=u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29=a ALIGN=MIDDLE  ALT=\"sqrt%282%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u-a%29%2F%28u%5E2-a%5E2%29=%28u-a%29%2F%28%28u-a%29%28u%2Ba%29%29 ALIGN=MIDDLE  ALT=\"%28u-a%29%2F%28u%5E2-a%5E2%29=%28u-a%29%2F%28%28u-a%29%28u%2Ba%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u-a%29%2F%28u%5E2-a%5E2%29=1%2F%28u%2Ba%29 ALIGN=MIDDLE  ALT=\"%28u-a%29%2F%28u%5E2-a%5E2%29=1%2F%28u%2Ba%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29-sqrt%282%29%29%2F%28x-a%29=1%2F%28sqrt%28x%29%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29-sqrt%282%29%29%2F%28x-a%29=1%2F%28sqrt%28x%29%2Bsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then the limit,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=1%2F%28sqrt%282%29%2Bsqrt%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=%281%2F2%29%281%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=%281%2F2%29%281%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=%281%2F2%29%28sqrt%282%29%2F2%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=%281%2F2%29%28sqrt%282%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=highlight%28sqrt%282%29%2F4%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E2%2C%28sqrt%28x%29-sqrt%282%29%29%2F%28x-2%29%29=highlight%28sqrt%282%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );