Does Convergence of (sn) and (sntn) Imply (tn) Converges?

gsmith89
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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
 
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gsmith89 said:
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?
 
Have you looked at the algebraic limit theorem?
 

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