by using the definition of cauchy sequences prove that anbn is a cauchy sequence if both an and

Name: by using the definition of cauchy sequences prove that anbn is a cauchy sequence if both an and bn are cauchy sequences 94545
Uploaded: 2022-02-08T18:02:40-08:00
Duration: 6 min 8 s
Channel: Harbir S
Description: by using the definition of cauchy sequences prove that anbn is a cauchy sequence if both an and bn are cauchy sequences 94545

Question

Harbir S · Accepted Answer

Step 1: Given that (an) and (bn) are Cauchy sequences, we know that for every ε > 0, there exist

Question

By using the definition of Cauchy sequences, prove that (an+bn) is a Cauchy sequence if both (an) and (bn) are Cauchy sequences.

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