Compute Limits Homework: a & b

[aid]

Homework Statement

Compute the limits:

a) $$\lim_{n \rightarrow \infty} n(2\sqrt{n^2 - n + 2} - 3\sqrt{n^2 + 1} + \sqrt{n^2 + 2n})$$,

b) $$\lim_{n \rightarrow \infty} n(n + 4\sqrt{n^2 + n} - 2\sqrt{n^2 - n} - 3\sqrt{n^2 + 2n})$$.

The Attempt at a Solution

Well, dividing by $$n^2$$ leads to nowhere as I still get $$\frac{0}{0}$$. I didn't figure out a good way to use squeeze theorem here neither. So, I'm stuck.

 

[tiny-tim]

hi aid!

yes, divide by n², then use an expansion for everything of the form √(1 + something)