(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that a sequence S_{n}will converge to a limit L if and only if S_{n}- L converges to 0

2. Relevant equations

{S_{n}} converges to L if and only if {S_{n}- L } converges to 0

3. The attempt at a solution

Is it enough to just say

{S_{n}} converges to L if and only if |S_{n}- L| < \epsilon if and only if |(S_{n}- L) - 0| < \epsilon if and only if {S_{n}- L}$ converges to 0

I'm learning this off a random pdf so I don't have the answers.

Is this enough? Any suggestions would be appreciated. Also is there a way to turn on Latex?

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# Homework Help: Sequence converges to a limit

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