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Prove that the sequence converges to 0 (2)

Alexmahone

Active member
Jan 26, 2012
268
e_{n+1} = (e_n-2)/(e_n+4)

Prove that {e_n} converges to 0 if

(a) e_0 > -1

(b) -2 < e_0 < -1

PS: I haven't learnt things like sup and inf yet, so please don't use them.
 

ThePerfectHacker

Well-known member
Jan 26, 2012
236
Look at the other question you posted. The idea is very similar.
Also it would help if you post your work so we can help you with your steps.
 

Alexmahone

Active member
Jan 26, 2012
268
I got it. Thanks!