The limit from x--> infinity of x^(3/x)

Question

i keep getting 3/infinity, which is infinity and this answer is incorrect.

Answer 1

Use an intuitive approach

what happens to 3/x as x ---> infinity
it get smaller and smaller,
that is, it approaches zero

and what is (any base)^0 ?
Isn't that equal to 1 ?

(test with your calculator,
take (1000000)^(3/1000000) to get 1.0000138)