# Prove that the sequence converges to 0 (2)

#### Alexmahone

##### Active member
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
Look at the other question you posted. The idea is very similar.