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**1. The problem statement, all variables and given/known data**

Suppose f: D-->R is continuous at a. Let n >1 be a positive integer. using the epsilon-delta definition of continuity, prove g(x)=[f(x)]^n is continuous as a

**2. Relevant equations**

i know how to do it as a sequence proof; but i don't know how to use the epislon/delta definition to prove it.

**3. The attempt at a solution**

i tried using the composition proof too, but that didn't work. any help?

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