(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove or give a counterexample: If {a_{n}} and {a_{n}+ b_{n}} are convergent sequences, then {b_{n}} is a convergent sequence.

2. The attempt at a solution

Ok I couldn't think of any counterexamples, so I tried to prove it using delta epsilon definitions:

|an - L| < E

|an + bn - M| < E

want to show: |bn - N| < E

Is this the right approach?

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# Homework Help: Converging sequences

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