(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that lim x ---> 0 (1 + 2x)^(1/x) = e^2

3. The attempt at a solution

lim x --> 0 log (1 + 2x)^(1/x) = 1

lim x --> 0 log (1 + 2x)/x = 1

Not really sure if I'm headed in the right direction here. Extremely new to proofs, thanks for any help.

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# Proof involving e^2

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