Can the limit of (√(n^2+1) - n) be solved?

[sitia]

Homework Statement

Solve the limit: lim n→∞ (√(n^2+1) - n)

Homework Equations

The Attempt at a Solution

I am very lost on how to start so I do not have anything

 

[Dick]

Multiplying by 1 in the form of (sqrt(n^2+1)+n)/(sqrt(n^2+1)+n) is probably the easiest way to go. There's other ways to do it. Try that one first.

 

[206PiruBlood]

Have you tried multiplying by the conjugate?

edit: too slow.