document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048208>Question 1048208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the limit, if it exists. (If an answer does not exist, enter DNE.)<BR>\n" );
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document.write( "lim<BR>\n" );
document.write( "x&#8594;&#8722;2             2 &#8722; |x|<BR>\n" );
document.write( "                  ---------------              <BR>\n" );
document.write( "                       2 + x<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 #663908 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663908\">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=lim%28x-%3E-2%2C+%282-abs%28x%29%29%2F%282%2Bx%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-2%2C+%282-abs%28x%29%29%2F%282%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "For a very small neighborhood around -2, the values of x are negative, and so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29+=+-x ALIGN=MIDDLE  ALT=\"abs%28x%29+=+-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-2%2C+%282-abs%28x%29%29%2F%282%2Bx%29%29+=+lim%28x-%3E-2%2C+%282-%28-x%29%29%2F%282%2Bx%29%29+=lim%28x-%3E-2%2C+%282%2Bx%29%2F%282%2Bx%29%29+=+lim%28x-%3E-2%2C+1%29+=+highlight%281%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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