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?
 

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
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