Question

Determine whether the sequence converges or diverges. If it diverges, find the limit:

an=2^(-n)cosnpi

Answer 1

\(\large a_{n}=2^{-n} \cos n \pi = \frac{(-1)^{n}}{2^n} \)

Answer 2

'math processing error' thats not what i wrote ! lol

Answer 3

hahaha, no, i got what you typed. how come you ignored the cosnπ?

Answer 4

@nuk64 , we cant find a limit if the series diverges. limit can only be found for converging sequences

Answer 5

@vamgadu : How do we know this one's diverging?

Answer 6

see