Question

Determine if this series converges or diverges:

S=ln[1+sin(1/n)/1-sin(1/n)]

Answer 1

ln[1+sin(1/n)/1-sin(1/n)]=ln[1+(2*sin(1/n)/1-sin(1/n))]~2*sin(1/n)/1-sin(1/n)~2*(1/n)/1=2/n ; then diverges

Answer 2

Is that correct?

Answer 3

yes,it's correct...