document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059024>Question 1059024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all horizontal asymptotes of the rational function.\r<BR>\n" );
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document.write( "1. 3x^3-17x^2+5x/x^5-2x^3\r<BR>\n" );
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document.write( "2.5x^2-2x-5/8x^2+x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674101 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=674101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^3-17x^2+5x/x^5-2x<BR>\n" );
document.write( "The first term in the numerator divided by the first term in the denominator is 3/x^2.  As x increases without bound, the value is 0. The horizontal asymptote is 0. While it appears that it approaches only from the negative side when x is positive, it does cross the x-axis on the right before gradually approaching 0.<BR>\n" );
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document.write( "5x^2-2x-5/8x^2+x+4<BR>\n" );
document.write( "The ratio of the first term in both the numerator and the denominator is 5/8. When x gets large, only the term with the highest power matters.<BR>\n" );
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