document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215943>Question 215943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the limit. If there is no limit, enter NONE. If you need to enter - or , type -INFINITY or INFINITY. <BR>\n" );
document.write( " Limit x to infinity 2x-1/5x^2+3x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163110 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The limit is ZERO since the degree of the denominator is larger than the degree of the numerator!  If you divide numerator and denominator by x, you get \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+-1%2Fx%29%2F%28x%2B3%2B1%2Fx%29+ ALIGN=MIDDLE  ALT=\"%282+-1%2Fx%29%2F%28x%2B3%2B1%2Fx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As x approaches infinity, you have a  numerator of 2 and a denominator of infinity.  The limit of 2 divided by an infinitely large denominator is 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );