document.write( "Question 91245: Find the horizontal asymptote of F(x) =5x^2+1/ x^2+2x+1 \n" ); document.write( "

Algebra.Com's Answer #66764 by mathispowerful(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the horizontal asymptote of F(x) =5x^2+1/ x^2+2x+1\r
\n" ); document.write( "\n" ); document.write( "horizontal asymptote is the F(x) value when x is very large.\r
\n" ); document.write( "\n" ); document.write( "in $\"%285x%5E2%2B1%29%2F%28+x%5E2%2B2x%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "when x becomes very large constant terms and x terms are relatively small compared to $\"x%5E2\"$ terms, so F(x) value is determined by $\"x%5E2\"$ terms, that is\r
\n" ); document.write( "\n" ); document.write( " $\"%285x%5E2%29%2F%28x%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "which gives us 5.\r
\n" ); document.write( "\n" ); document.write( "So the answer to your question is horizontal asymptote is y = 5\r
\n" ); document.write( "\n" ); document.write( "see graph below\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28400%2C200%2C-30%2C30%2C-2%2C7%2C+%285x%5E2%2B1%29%2F%28+x%5E2%2B2x%2B1%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "(If you need your questiones answered quickly, you may contact me by going to my webpage, usually you will get the answer (step by step) within 24 hrs, I may charge you a very small fee through Paypal). \n" ); document.write( "

\n" );