The series \sum ↙\stackrel{\infty}{n = 1}⁡ {z^{n}}/{n\sqrt{n + 1}},{| z |} \leq 1 is:

Correct Answer is : Uniformly and absolutely convergent

Absolutely convergent but not uniformly convergent

Uniformly but not absolute convergent

Uniformly and absolutely convergent

AAI ATC Junior Executive 2016 Shift 1 Paper

Question : 113 of 120

Marks: +1, -0

The series

∑ ↙{n = 1}↖{∞}⁡\;{z^{n}}/{n{√{n + 1}}},{| z |} ≤ 1

is:

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