MathCastle
PutnamSuperchallengeIntegrals I: Feynman's Trick

Integrals I: Feynman's Trick · Superchallenge problem

Evaluate lim⁡n→∞(1+2n)3n\displaystyle\lim_{n\to\infty}\left(1 + \frac{2}{n}\right)^{3n}. Express your answer in terms of ee.