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  • 01-10-2020
  • Mathematics
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How do you do this question?

How do you do this question class=

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MathPhys
MathPhys MathPhys
  • 01-10-2020

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.

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