Answer to Question #108971 in Real Analysis for Bian Atthaya Haura

Question #108971

Show that if X and Y are sequences such that X and X+Y are convergent, then Y is convergent.

Expert's answer

If X is convergent then -X is also convergent.

If X+Y is convergent then (-X)+(X+Y) is also convergent.

Implies Y is also convergent.

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