Question: . (a) Prove liinnnm + i) = e. Hint: Put (1 + a in the exponential form elnlllril. Then evaluate the limit in the exponent

$. (a) Prove liinnnm + i)\" = e. Hint: Put (1$

. (a) Prove liinnnm + i)\" = e. Hint: Put (1 + a\" in the exponential form elnlllril\". Then evaluate the limit in the exponent (we'll need l'Hopital). (b) Use this identity to evallmte whether the following series converges or diverges with the root test bang? n: l

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