# Let A be the subset of R defined by A := (1- (((-1)^n)/n)): n ∈ N.Find all cluster points of A and justify your answer

Let A be the subset of R defined by A := (1- (((-1)^n)/n)): n ∈ N.Find all cluster points of A and justify your answer : {1 –
– :n e N}. Find all cluster points of
(a) Let A be the subset of R defined by A :=
(-1)”
(b) Let S c R and let c e R be a cluster point of S. Prove that for each ɛ > 0 the set
W := Sn (c – ɛ, c + e) has infinitely many elements.

(550 words)

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