AAI ATC Junior Executive 2018 Shift 2 Paper

Question : 104 of 120

Marks: +1, -0

Which of the following statements is FALSE?

If a sequence X of real numbers converges to a real number and has two convergent subsequences X' and X" whose limits are not equal, then X is divergent.
A Cauchy sequence of real numbers is unbounded.
If a sequence (x_n) of real number converges to a real number x, then any subsequence (x_nK) of (x_n) also converges to x.
A bounded sequence of real numbers has a convergent subsequence.

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