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Swapnil Chatterjee posted an Question
August 04, 2020 • 21:20 pm 20 points
  • IIT JAM
  • Mathematical Statistics (MS)

If n is odd n if b if n is even n then (a) both (b,) andb, are convergent (b) both (b) andb, are divergent (c) (b,) is convergent but 2b, is not convergent. (d)

if n is odd n If b if n is even n Then (A) Both (b,) andb, are convergent (B) Both (b) andb, are divergent (C) (b,) is convergent but 2b, is not convergent. (D) 2b is convergent but (a,) is convergent

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  • Anuj shrivastava best-answer

    in case of series. when nth term is odd then series is convergent by D'Alembert test and when nth term is even the series is divergent

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    Satpal singh

    sequence is cgt to zero as n tends to infinity. but series is dgt by p-test .

    eduncle-logo-app

    which term is nth term ??? odd or even

  • Anuj shrivastava best-answer

    option "c" is correct...when we establish the series we get series which is not monotonic . so series is not convergent (we can't say anything about divergent) and is convergent because limit exist and finite (0 for both case)

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