Ankur posted an Question
December 09, 2020 • 13:29 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Sin(n) how to show that the series of log(n) converges?

sin(n) How to show that the series of log(n) converges?

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  • Ankur Rao

    I didn't understand these

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    do u know about dirichlet test or not

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    sin(n) is bounded . it is mentioned in 3 picture . so 1/log(n) is monotonicaly decreasing sequence and converge to zero . hence by dirichlet test this series is Convergent

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    you know that the value of sin(n) lies between -1 to 1 hence it is bounded

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    Any other doubt ??

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    how can we say that sin (n) / log(n) is decreasing

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    sin(n) will oscillate

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    now you should follow all this step

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    2.

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    4. this shows that Sin(n) is bounded .

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    any other doubt ??

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    you should improve your basic concepts

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    thank you 😊 I got it now

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    welcome dear 😜

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