# Math Help - limit....

1. ## limit....

I'm new here and hope you'll help me

http://img91.imageshack.us/img91/6122/p1040009bl7.jpg
i have big problems and don't know what to do with 6.8: d,h,i,k,l.

2. For d). try multiplying the top and bottom by $\sqrt{n^2+1}+n$. I haven't done the maths myself yet, but that square root at the bottom is a pain! Try the same method with h.

For i), try diving both the top and bottom by $5^{n+2}$.

For k, this seems like a sandwich rule question. I'm a little puzzled on it myself =S

For l, i'm not really sure. Since this is an alternating sequence and n is approaching infinity then the series can approach any limit in $\mathbb{R}$.

3. Try multiplying by the conjugate (the conjugate of root 6 - 2 is root 6 + 2). This will help you find something to cancel out.

If you still need help/nobody else has helped you by tomorrow, I will explain each of the problems then when I have time!

4. Thank you very much...
i'm finishing it...
very hard work:/