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→∞) ∫_a ^b f_n (x) dx →∫


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Question Number 55642 by gunawan last updated on 01/Mar/19
$Prove the following statements: If for every n , f_n form ascend function and {f_n } uniform convergences to f at [a, b], then lim_(n→∞) ∫_a ^b f_n (x) dx →∫_a ^b f(x) dx$
$Prove the following statements :$ $If for every n, f_{n} form ascend function$ $and {f_{n}} uniform convergences$ $to f at [a, b], then$ $\lim_{n \to \infty} \int_{a}^{b} f_{n} (x) d x \to \int_{a}^{b} f (x) d x$
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