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Vijay posted an Question
March 29, 2021 • 00:00 am 30 points
  • IIT JAM
  • Mathematics (MA)

Where is the mistake?

Please send the solution to the problem given in the attachment.

1 Answer(s) Answer Now
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    Deepak singh 1 best-answer

    Refer attached series is divergent

    cropped2096359937885167166.jpg
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    where have I made a mistake?

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    this is series not sequence . only finding limit does not tell limit of series .

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    if sequence of partial sum of series converges to 0 doesn't implies that series is convergent . It is necessary conditions for convergence of series not sufficient .

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    oh... if the limit of the nth term is 0 then cong. since it's not in my case, therefore, divergent.

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    take series 1/n and use this(your ) test . You will get .

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    0 i.e. cong.

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    but its divg. 😁

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    in my statement the converse is not true sorry my bad.

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    yes..

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