Summing the reciprocals of successive exponents of successors

Calculus Level 4

∑ n = 1 ∞ 1 n n + 1 = ? \large \displaystyle \sum_{n=1}^{\infty} \dfrac{1}{n^{n+1}} \ = \ ?

Give your answer correct up to 3 places of decimals.

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The answer is 1.138.

Tapas Mazumdar by Tapas Mazumdar , 20, India

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