if an and bn are both convergent series then anbn is convergent 38906

Name: if an and bn are both convergent series then anbn is convergent 38906
Uploaded: 2023-04-26T08:55:57-08:00
Duration: 2 min 29 s
Channel: Numerade
Description: if an and bn are both convergent series then anbn is convergent 38906

Question

Supreeta N · Answer

Hi, today we are solving the question in which since the limit of the partial sum Sn exists and

Supreeta N · Answer

Hello everyone so here we have to show that A and BN converges if and only BN converges to 0 Let

Vincenzo Zaccaro · Answer

Okay, so let&#x27;s suppose that BN converges to 0 and let&#x27;s show that A .N multiplied by BN converge

Nick Johnson · Answer

Hello. So here we consider let the sum of A sub N be the sum of negative 1 to the N over the squ

Sri K · Answer

Now, solution of this question. Let a n is equal to a n is equal to minus 1 to the power n and b

Question

If ∑an and ∑bn are both convergent series, then ∑an+bn is convergent.

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