Shruti posted an Question
September 23, 2020 • 22:21 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Usually a pointwise convergence series does not imply it is uniformly convergent

Usually a pointwise convergence series does not imply it is uniformly convergent. can someone please tell me how this is holding without doing it by definition of uniform convergence.

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  • Laxmi meena

    see may be there has little mistake in question but no problem . as it is said that given series is convergent of real number . second if you can see <1/n> is monotonic and limit at n->0. and SOP of series (-1)^n-1 is bdd .this implies given series is uniform convergent.

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    so in genral if a series is convergent over R then it need not imply that is uniformly convergent right?

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