(2n+1)n!/(n+1)!.. I know that is the same as (2n+1)/(n+1).. how do i prove this is convergent and how do i find the limit?

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- Mar 2nd 2010, 05:58 PMcalculuskid1Limits question
(2n+1)n!/(n+1)!.. I know that is the same as (2n+1)/(n+1).. how do i prove this is convergent and how do i find the limit?

- Mar 2nd 2010, 06:42 PMProve It
- Mar 2nd 2010, 06:46 PMcalculuskid1
it is a sequence

- Mar 2nd 2010, 06:52 PMProve It
$\displaystyle \frac{2n + 1}{n + 1} = \frac{2n + 2}{n + 1} - \frac{1}{n + 1}$

$\displaystyle = \frac{2(n + 1)}{n + 1} - \frac{1}{n + 1}$

$\displaystyle = 2 - \frac{1}{n + 1}$.

What happens as $\displaystyle n \to \infty$? - Mar 2nd 2010, 06:56 PMarcketer