Dhivya posted an Question
October 10, 2020 • 13:21 pm 30 points
  • IIT JAM
  • Mathematics (MA)

The limit of the series in(n) x arcsin is n=1 n+1 the series 2 n=0

The limit of the series In(n) x arcsin is n=1 n+1 The series 2 n=0

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  • Anuj s. Best Answer

    solution

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    I cant understand the n tends to infinity part

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    its is solved by root test

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    What happened to ln(2)

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    And denominator part how it changed to 2^n+1 to 2^n

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    at denominator as n tends to infinity then 2^n+1 change to 2^n because we ignore the +1 for example , take n=10 u get 10ln(2)/1025 which is nearly equal to 10ln(2)/1024

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    at root test , ln(2) is cancelled out. take common from an+1/an

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    .root test

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    2^n +1

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