Let A ⊆ C be infinite and denote by A' the set of all the limit...

Let A ⊆ C be infinite and denote by A' the set of all the limit points of A.

Prove that if z ∈ A' then there is a non-trivial sequence of elements in A that converges to z

Expert Solution

Let here a infinite set A is given z be the limit point of A. We want to show there exist sequence in A which convergent to z. Above images contains proof of that.

Colby Messinger answered 2 years ago

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