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sum _{n=1}^{infty }:left(-1 ight)^ndiv sqrt{n+:1}::Does:it:converge:or:diverge:and:why?

\sum _{n=1}^{\infty }\:\left(-1 ight)^n\div \sqrt{n+\:1}\:\:Does\:it\:converge\:or\:diverge\:and\:why?

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