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Question

Mathematics Question on Principle of Mathematical Induction

The infinite series n=1(1+1n)n2\displaystyle\sum_{n=1}^{∞} (1+\frac{1}{n})^{-n^2} is:

A

Convergent

B

Divergent

C

Oscillating finitely

D

Oscillating infinitely

Answer

Convergent

Explanation

Solution

The correct option is(A):Convergent