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## Homework Statement

This is from an online answer, and I don't understand the steps that it took. How did they go from the first red box to the second red box?

## Homework Equations

L'Hopital's rule

Laws of exponents

## The Attempt at a Solution

I am really really confused. It looks like they took what e was raised to, and found the limit of that... but what rule allowed them to "Finally, plug in the original limit"?