I know that a series such as(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum_{n=1}^{\infty} \frac{1}{\sqrt{n}} [/tex]

is divergent. Is this also the case for an alternating version of the same series, i.e.,

[tex]\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{\sqrt{n}} [/tex]

?

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# Homework Help: Alternating series

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