Math, asked by zabedakhtar68794, 3 months ago

Give an example of a bounded sequence in R which is not convergent.

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Answered by Anonymous

4

Step-by-step explanation:

Theorem 2.4: Every convergent sequence is a bounded sequence, that is the set {xn : n ∈ N} is bounded. Remark : The condition given in the previous result is necessary but not sufficient. For example, the sequence ((−1)n) is a bounded sequence but it does not converge.

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