AAI ATC Junior Executive 2018 Shift 1 Paper

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Question : 117 of 120

Marks: +1, -0

Which of the following statements is FALSE?

The series $∑↙{n = 1}↖{∞}⁡\;{1}/{n^{2}}$ is convergent.
A Cauchy sequence of real numbers need not be bounded.
A sequence of real numbers need not be bounded.
A sequence of real numbers is convergent if and only if it is a Cauchy squence.

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