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## Homework Statement

Find limit

_{x->0}(f(x))

^{g(x)}.

Here limit

_{x->0}f(x) = 1 and limit

_{x->0}g(x) = ∞

## Homework Equations

I know that limit

_{x->0}(1 + x)

^{1/x}= e ... (1)

## The Attempt at a Solution

I have the answer which is e

^{limit x->0 (f(x) - 1) * g(x)}

But I don't know how to proceed. I have to somehow use equation (1) but how?