document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704028>Question 704028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> http://m1146.photobucket.com/albumview/albums/pigrabbit_8/197F811B-1CCE-4228-92C1-030C81927B4A-9093-000009BA5EB0B739_zpsba1efaaa.jpg.html?o=0&newest=1\r<BR>\n" );
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document.write( "Hello. Please help me with #32! I'm very confused! Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433872 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=433872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That picture is somewhat difficult to read but you're interested in limit as x approaches positive and negative infinities for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282x-1%29%2F%28x%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%282x-1%29%2F%28x%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Unless read incorrectly.\r<BR>\n" );
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document.write( "That function is defined for the entire real number line, so nomatter what x is picked, the function and limit are the same.  The denominator, x^2+1, is never zero.\r<BR>\n" );
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document.write( "The evaluation directly for limits at infinity may be difficult to see.  Try dividing numerator AND denominator by x^2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-1%29%2Fx%5E2%29%2F%28%28x%5E2%2B1%29%2Fx%5E2%29=%28%282%2Fx%29-1%29%2F%281%2B1%2Fx%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Toward negative infinity, the numerator approaches 0-1 and denominator approaches 1+0.  The function then approaches -1/1, (negative 1).<BR>\n" );
document.write( "... and you may then decide what happens as x approaches positive infinity? </SPAN>\n" );
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