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Question Number 55642 by gunawan last updated on 01/Mar/19

Prove the following statements :

If for every n, f_{n} form ascend function

and {f_{n}} uniform convergences

to f at [a, b], then

\lim_{n \to \infty} \int_{a}^{b} f_{n} (x) d x \to \int_{a}^{b} f (x) d x