Amari Flowers
2021-08-13
Answered

Consider two series $\sum _{n=1}^{\mathrm{\infty}}\frac{1}{2}\pi nZ{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\sum _{n=0}^{\mathrm{\infty}}\frac{1}{{\pi}^{2}}n$ . Which of them converges?

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pierretteA

Answered 2021-08-14
Author has **102** answers

Series A:

Harmonic series – Divergent

Series B:

Geometric series, so

Thus, only series B converges.

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