# Calculating the limits

## Homework Statement

lim[p$$\rightarrow$$0] $$\frac{ ln(2x^{p}+3y^{p})}{p^2}$$

## Homework Statement

I first plugged in zero to see if i can you L'hopital's rule
I got a (constant)/0 which is not an indeterminant form.

If I can't use the rule, what should be my next step to find the limit?
( I kinda guessed that the the answer's infinity but I'm not sure)

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You don't need L'hopital's rule here since the numerator is always constant... The answer is more straight forward than you think...

What's lim [x->infinity] 1/(x^2) ?

edit: didn't notice that x was to the power of p...see office shredder's comment

Last edited:
Office_Shredder
Staff Emeritus