Hey guys,

I am struggling with the following homework problems:

use the appropriate limit laws and theorems to determine the limit of the sequence or show that it diverges.

a_{n}= [e^{n}+ (-3)^{n}] / 5^{n}[solved]

a_{n}= e^{n}/ 2^{n}[solved]

a_{n}= [1+(1/n)]^{n}

a_{n}= n[(n^{2}+ 1)^{1/2}- n]

Any help would be greatly appreciated (Nod)