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Mathematics 89 Online
OpenStudy (anonymous):

If n is a positive integer, then lim (n-->infinity) (1/n) [1/(1+(1/n)) + 1/(1+(2/n))+...+1/(1+(n/n)] is? the above can be expressed as a.) integral from 0 to 1 of (1/x) dx b.) integral from 1 to 2 of (1/(x+1))dx c.) integral from 1 to 2 of (x)dx d.) integral from 1 to 2 of (2/(x+1)) e.) integral from 1 to 2 of (1/x) please show me how u got the answer thanks a lot!

OpenStudy (hoblos):

\[(1/n) \sum_{1}^{n}[1/(1+(i/n))] ---> \int\limits_{1}^{2}[1/(1+x)]\]

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