- #1

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## Homework Statement

Show that a sequence S

_{n}will converge to a limit L if and only if S

_{n}- L converges to 0

## Homework Equations

{S

_{n}} converges to L if and only if {S

_{n}- L } converges to 0

## 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?