...have more than two horizontal asymptotes?

I just want to know for sure.

Printable View

- February 5th 2008, 04:58 PMadhesiveWhy can't a graph...
...have more than two horizontal asymptotes?

I just want to know for sure. - February 5th 2008, 05:30 PMmr fantastic
You find horizontal asymptotes by considering the limiting behavior of y = f(x) as x approaches +oo and -oo:

If then and the line is a horizontal asymptote.

If then and the line is a horizontal asymptote.

When they exist, the values of a and b are unique by the 'uniquesness of a limit theorem'.

Therefore there are no more than two possible horizontal asymptotes.

Stick at it (Rofl)