Question

sum from n=0 ->infinity
(1+ sin(n))/ (10^n)

Answer 1

\[\sum_{n=0}^{\infty} (1+ \sin(n))/(10^n)\]

Answer 2

convergent...divergent?

Answer 3

\[\sum_{n=0}^{\infty} \sin(n)/10^n\]
to use as the comparison test

Answer 4

what happened to the sine?

Answer 5

\[\sin (n) \le 1\]

Answer 6

so we can ignore it when checking for convergence?

Answer 7

you have to solve it exactly by Firier series,Is the problem in that area?

Answer 8

no i just have to determine if it is convergent or divergent by using the comparison test

Answer 9

so mukushla solved it and showed it is convergence.

Answer 10

i didn't quit understand how we went
(1+sin(n))/(10n) to 2/(10n) to (2n)/(10n)

Answer 11

bot he had a mistake and should put 2 instead 2^n

Answer 12

but whyyyyy?