Question

does the series converge or diverge?

sin(1/n^2) n=1 to infinity

Answer 1

i know 1/n^2 converges but thats all i got lol

Answer 2

@Easyaspi314

Answer 3

well it is a lot !
think of the comparison test.
another big hint : sin(x) <= x for 0<=x<=1

Answer 4

hey sorry i had to go to work...go ahead:) @Coolsector

Answer 5

hey
well according to the hint
if (1/n^2) is between 0 and 1 (and it is because n goes from 1 to inf)
we have sin(1/n^2) < (1/n^2)

Answer 6

okayy

Answer 7

so done .. cause it is for every term
so according to the comparison test ..

Answer 8

it converges correct

Answer 9

yes

Answer 10

beautiful thank you:)

Answer 11

yw:)