Let sn = 21/n+ n sin(nπ/2), n ∈ N. (a) List all subsequential limits of (sn)....

Let sn = 2^1/n+ n sin(nπ/2), n ∈ N.

(a) List all subsequential limits of (sn).

(b) Give a formula for nk such that (snk) is an unbounded increasing subsequence of (sn).

(c) Give a formula for nk such that (snk) is a convergent subsequence of (sn).

Expert Solution

Colby Messinger answered 2 years ago

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Question

Let sn = 21/n+ n sin(nπ/2), n ∈ N. (a) List all subsequential limits of (sn)....

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