Lalthazuala posted an Question
August 27, 2021 • 07:03 am 30 points
  • IIT JAM
  • Mathematics (MA)

Q.281 the limit of the sequence a_n=(1+1/3+1/5+ . +1/(2n-1) /(log(n)) is (a) 1 (b) 0.5 (c) e (d) none of the above

Q.281 The limit of the sequence a_n=(1+1/3+1/5+ . +1/(2n-1) /(log(n)) is (a) 1 (b) 0.5 (c) e (d) None of the above

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  • Srj Best Answer

    answer b)0.5

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    please check the question .I think you have some mistake.

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    this is sequnce. one can always omit first few term. We have to see limiting behavior

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    even if we start integral limit 2, it will not make any trouble

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    But the given sequence is (1+1/3 +1/5 +...)/logn

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    I will add another solution with tolpiz transformation

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    nice solution

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    Arpan pal best-answer

    There is some mistake in question, because the denominator part is not possible which is given the question (logn) .If the denominator part is n ,then it is possible to get some value of limit by applying Cauchy's Frist theorem.

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