Can we do that?

Calculus Level 5

If n=1(1)nn0.5=k×ζ(0.5)\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^n}{n^{0.5}}=k\times \zeta(0.5), find log2(k+1)\log_2(k+1).

Notation: ζ() \zeta(\cdot) denote the Riemann zeta function.


Similar looking problem.

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