Let \sum u_{n} be a series of positive terms and let \begin{array}{c}limu_{n\end{array}^{1\/ n} ; n\rightarrow \infty ; } = l, then, which among the following does not express the condition for the Cauchy’s n th root test?

Correct Answer is : If l = 0, the series neither converges nor diverges

If l = 0, the series neither converges nor diverges

If l = 1, the test fails and the series may either converge or diverge

AAI ATC Junior Executive 2016 Shift 1 Paper

Question : 67 of 120

Marks: +1, -0

Let

∑ u_{n}

be a series of positive terms and let

{\table limu_{n}^{1\/ n} ; n⟶ ∞ ; } = l

, then, which among the following does not express the condition for the Cauchy’s n^th root test?

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