Question

How do you do this question?

Answer 1

Converges

Explanation:

g(x) = 1/eˣ = (1/e)ˣ

This is a geometric series. │1/e│< 1, so the series converges.

f(x) = 1 / (√x + eˣ), so f(x) < g(x). Therefore, if g(x) converges, then f(x) also converges.