Does sin(4/3n) Converge or Diverge?

[mattmannmf]

given the series, determine whether the series converges or diverges:
(E is my sigma)

E sin(4/3n)


Now would it just be the same if i compared 1/n to 3/4n to diverge

Then could I just say since 3/4n diverges then sin(3/4n) must also diverge?

I wouldn't really know how to do the algebra for the direct comparison test or limit comparison test with the sin being there. But i can do the algebra for comparing 1/n with 3/4n..help please

 

[Dick]

So you didn't get anything out of the previous thread you posted on this problem? https://www.physicsforums.com/showthread.php?t=392674 Of course, 3/(4n) diverges. But 3/(4n) is greater than sin(3/(4n)). You want a divergent series LESS than sin(3/(4n)).