I am having trouble with this limit, and I would appreciate anyone's imput.

limit (1+(1/3X))^(7+2X)

as x->0

I have tried to manipulate this into the 2 indeterminate forms that work with L'hopitals rule to no avail.

I am leaning toward the limit approaching 0 , since the limit is undefined at x=0, if we approach x from 0+, the limit goes to infinity^7 , which means 1/[(inifinity)^-7)] = 0

Thank you for your help