Question

Determine whether the sequence
{an} converges or diverges, where
an = (4^n + 8^n)^(1/n)

Answer 1

You need to stipulate as n tends to what?

Answer 2

infinity, I tried ln(limit) so I would get ( 4^n + 8^n ) / n
but that sill leaves me with ugly powers on top

Answer 3

I know that the powers grow faster than just n so it will converge and it won't be at 0

Answer 4

I was thinking L'hopital's rule but that also looks nasty