Friday, March 19, 2021

Consider this expression

 For any positive integer m 



2 comments:

  1. According to me 1/(n(n+1)) converges. However 1/(n(n+k)) diverges where k is any positive integer other than 1.
    Wolfram alpha says 1/(n(n+k)) converges for any positive integer value of k including 1.
    Wolfram alpha doesn't accept Gauss constant G. I accept whole heartedly Gauss constant G.
    These two are what I don't agree with Wolfram alpha. I have reasonable knowledge to oppose and state my viewpoint.

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  2. I learnt the comparison test of convergence.
    1/(n(n+1+(k-1))) is also convergent by comparison test, if 1/(n(n+1)) is convergent. That clears one issue with Wolfram alpha.
    I must say sorry on the Gauss issue because I have learnt a lot from Internet/Wikipedia/Wolfram Alpha.
    This finishes the argument.

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