- #1
azatkgz
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Homework Statement
[tex]\frac{1}{n}\lim_{n\rightarrow\infty}\sum_{k=1}^{n}f(a+\frac{b-a}{n}k)[/tex]
The Attempt at a Solution
I tried to solve it simply.
[tex]\frac{1}{n}\lim_{n\rightarrow\infty}\sum_{k=1}^{n}f(a+\frac{b-a}{n}k)=\int_{0}^{1}f(a+(b-a)x)dx[/tex]
[tex]=f(b)-f(a)[/tex]
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