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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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a question regarding the interchange the order of finite summation with finite integration [closed]

Question (1) What are the conditions the complex function $f_n(t)$ and real parameter $B>1$ and positive integer $N>1$ need to satisfy such that the interchange of the finite summation with finite int …
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