Answer:
Converges
Step-by-step 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.
