# Thread: how to start this limit problem....

1. ## how to start this limit problem....

I'm not sure how to start this off...

$\lim_{n\to\infty} \sqrt{n+1} - \sqrt{n}$

I can think of a logical way to say this does not converge to zero.. which is what i need, but how do I do this algebraically?

Thanks

2. Originally Posted by unreal89
I'm not sure how to start this off...

$\lim_{n\to\infty} \sqrt{n+1} - \sqrt{n}$

I can think of a logical way to say this does not converge to zero.. which is what i need, but how do I do this algebraically?

Thanks
multiply: $\frac{\sqrt{n+1} + \sqrt{n}}{\sqrt{n+1} + \sqrt{n}}$..

wait.. it doesn't converge to zero? omg

3. wow.. cool, thanks