Sequence convergence proof

[gsmith89]

Hello was wondering if anyone could help me prove that:
Suppose (sn) converges to s not equal to 0 and ( sntn) converges to L. Prove that (tn) converges

 

[chiro]

Hello was wondering if anyone could help me prove that:
Suppose (sn) converges to s not equal to 0 and ( sntn) converges to L. Prove that (tn) converges

Hello gsmith89 and welcome to the forums.

What can you say about sn, tn, and sntn in relation to (sn + tn)^2?

 

[SpaceWalrus]

Have you looked at the algebraic limit theorem?