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Vijay posted an Question
July 23, 2021 • 00:35 am 30 points
  • IIT JAM
  • Mathematics (MA)

Rat.abso.delim. please send the solution to the problem given in the attachment.

rat.abso.delim. Please send the solution to the problem given in the attachment.

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    Deepak singh 1 Best Answer

    Refer attached

    cropped9149016793744860383.jpg
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    that implies I can apply the ratio test on an alternating series, right?

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    yes, it will tell about absolute convergence of alternating series.

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    sorry to say but I remember you telling me that we cant use alternating series in a ratio test, what about that?

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    to check alternating series , we use leibnitz test . But ratio test , root test are used for checking absolute convergence and absolute convergence implies convergence . if we want to check absolute convergence of alternating series , then we can use ratio or root test , that's why there is modulus sign these ratio and root test .

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