- #1

- 37

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## Homework Statement

[tex]$\lim_{n\to\infty}\sqrt{n+1}-\sqrt{n}[/tex]

## Homework Equations

none

## The Attempt at a Solution

The answer is obvious, but I'm having trouble doing it formally. The best I can come up with is setting it equal to some t

_{n}, moving [tex]-\sqrt(n)[/tex] to the other side and squaring both sides. Then somehow showing that t

_{n}--> 0.