The first one converges. Realize that , both sequences converge to zero.
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