How to evaluate this limit?

lim_(t-> +oo) f(t) = ?

f(t)=((3^t+5^t)/2)^(1/t) for t!=0

1 Answer
Nov 19, 2017

5

Explanation:

f(t)=((3^t+5^t)/2)^(1/t) = 5(((3/5)^t+1)/2)^(1/t)

lim_(t->oo)f(t) = lim_(t->oo) 5(((3/5)^t+1)/2)^(1/t) = 5 * 1 = 5