By using limit theorems, find the limit of

sqrt (n+1) - sqrt n as n goes to infinity.

Thanks

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- Sep 18th 2007, 10:58 AMtaypezAdvanced Calc I
By using limit theorems, find the limit of

sqrt (n+1) - sqrt n as n goes to infinity.

Thanks - Sep 18th 2007, 11:01 AMred_dog
$\displaystyle \lim_{n\to\infty}(\sqrt{n+1}-\sqrt{n})=\lim_{n\to\infty}\frac{1}{\sqrt{n+1}+\sq rt{n}}=0$