A simple question of products

Calculus Level 3

Does the product ∏ n = 1 ∞ c n \prod_{n=1}^{\infty} \sqrt[n]{c} converge for some real positive constant c c ?

No, the product always diverges Yes, there are infinitely many such c c Yes, there are finitely many such c c

William Crabbe by William Crabbe , 19, USA

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1 solution

X X
Apr 27, 2018

When c isn't larger than 1

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