prove Lim|sn| = 0 if and only if Lim sn = 0. Cananyone show me how to work this?

Question

prove Lim|sn| = 0 if and only if Lim sn = 0. Cananyone show me how to work this? I need to show both ways. I knowhow to show if Lim|sn| = 0 then lim sn = 0, but i cannot show theother way around. I opened up the absolute value sign and got L - e < |Sn| < L + e, L <> 0. What can i do nextto show that L has to be 0 using the fact that lim sn = 0. prove Lim|sn| = 0 if and only if Lim sn = 0. Cananyone show me how to work this? I need to show both ways. I knowhow to show if Lim|sn| = 0 then lim sn = 0, but i cannot show theother way around. I opened up the absolute value sign and got L - e < |Sn| < L + e, L <> 0. What can i do nextto show that L has to be 0 using the fact that lim sn = 0.

Explanation / Answer

reversing this argument is what i have problem with. if you reverse the argument. -e

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