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Question Number 168799 by MikeH last updated on 17/Apr/22
Ifthefunctionfiscontinuousin[a,b]provethatlimx→∞b−an∑nk=1f(a+k(b−a)n)=∫abf(x)dx
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![If the function f is continuous in [a,b] prove that lim_(x→∞ ) ((b−a)/n)Σ_(k=1) ^n f(a+((k(b−a))/n))=∫_a ^b f(x)dx](Q168799.png)