Proving a theorem about limits

[mjjoga]

a) Suppose that the limit as n goes to infinity s_n=0. If (t_n) is a bounded sequence, prove that lim(s_nt_n)=0.
So I need to show that abs(s_nt_n)<epsilon, and I know that abs(s_n)<epsilon. I mean, I know abs(s_nt_n)=abs(s_n)abs(t_n that didn't help.
I don't know how to go about this. I've tried the triangle inequality variations but that didn't seem to get me anywhere either. I feel like I'm going in circles.
can I get a hint?

thanks!

 

[lanedance]

say M is a bound of the sequnce t_n, can you show M.s_n tends to zero?

 

[mjjoga]

thanks, I finally figured it out!
mjjoga