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.
Please help
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.
Please help
For d). try multiplying the top and bottom by $\displaystyle \sqrt{n^2+1}+n$. 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 $\displaystyle 5^{n+2}$.
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 $\displaystyle \mathbb{R}$.