Find the horizontal and vertical asymptotes of the curve. (Round your answers to two decimal places.) http://www.webassign.net/cgi-bin/sym...5Ex%20-%205%29

I already solved for the y's

y=0

y=5

But I'm stuck on x?

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- February 5th 2010, 08:47 AMrodjav305Find the horizontal and vertical asymptotes of the curve.
Find the horizontal and vertical asymptotes of the curve. (Round your answers to two decimal places.) http://www.webassign.net/cgi-bin/sym...5Ex%20-%205%29

I already solved for the y's

y=0

y=5

But I'm stuck on x? - February 5th 2010, 09:30 AMSoroban
Hello, rodjav305!

Quote:

Find the horizontal and vertical asymptotes of the curve: .

Round answers to two decimal places.

For horizontal asymptotes, find the limit of as .

We have: .

Divide top and bottom by

Then: .

The horizontal asymptote is: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

For vertical asymptotes, we want: .

So we have: .

The vertical asymptote is: .

- February 5th 2010, 11:49 AMHenryt999Dear Soroban
I am new to calculus and thought that was a usefull concept to "for vertical asymptotes" set the denominator to zero..

My question is how come it works out? Can I prove that somehow? Is it allways valid? - February 5th 2010, 12:13 PMmr fantastic
- February 5th 2010, 12:56 PMRaoh