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- Let A = {(−1)^n + 1/n where n is a positive integer}. Determine A′.(Recall that A′ is the set of limit points of A).1. Consider the sequence Xn = √n + 1 − √n, n ≥ 1. Prove that (xn)n isconvergent. Find its limit.2. (19) Determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter 00 or 00, as appropriate.