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## Homework Statement

(a) [tex]lim_{n\rightarrow\infty}[/tex] ([tex]\sqrt{(n + a)(n + b)} - n)[/tex] where a, b > 0

(b)[tex]lim _{n\rightarrow\infty}[/tex] (n!)

^{1/n2}

## Homework Equations

## The Attempt at a Solution

I tried to use Limit theorems but nothing happened.

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