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MTH631 - Real Analysis II Assignment No 01 Fall 2019 Solution & Discussion


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MTH631 Real Analysis II Assignment 1 Solution & Discussion Fall 2019


 

Question no#1

Show that the sequence \{ {f_n}(x)\}  where is uniformly convergent on any interval [a,b],\,\,a > 0 but is only point wise convergent on [0,b].

 

Question no#2

Show by using the Dirichlet’s test, the series \cos x + \frac{1}{2}\cos 2x + \frac{1}{3}\cos 3x + ... converges uniformly in the interval

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