MHB Prove that the sequence converges to 0 (2)

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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 learned things like sup and inf yet, so please don't use them.
 
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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.
 
I got it. Thanks!
 

Thread 'Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis)'

I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
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