# How do you determine the limit of #5^x/(3^x+2^x)# as x approaches infinity?

##### 1 Answer

Mar 5, 2015

Use l'Hopital's Rule and some algebra.

In the original form, l'Hopital's rule doesn't help, but note that:

The limit as

L'Hopital tells us to consider the ratio of the derivatives:

Note that this is simply

Furthermore,

So, as

Bonus: