how do you find-
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Originally Posted by adhyeta how do you find- Limits is not my strongest suit, but how can this be found for x approaches infinity if the function in question is not a function of x?
Originally Posted by pickslides Limits is not my strongest suit, but how can this be found for x approaches infinity if the function in question is not a function of x? oops. its actually n not x. lol. thnx
Originally Posted by adhyeta how do you find- This can be identified with a Reimann sum $\displaystyle \lim_{n \to \infty}\sum_{i=1}^{n}\frac{1}{i\cdot a+n} = \sum_{i=1}^{n}\frac{1}{1+\frac{i\cdot a}{n}}\left( \frac{1}{n}\right)=\int_{0}^{a}\frac{1}{1+x}dx=\ln |a+1|$
Last edited by TheEmptySet; May 5th 2009 at 09:11 PM. Reason: had the wrong limits of integration
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