Suppose that and for all Prove that this sequence converges and find its limit. I was hoping that I could avoid induction on this one but I don't know any other method to prove this.
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Originally Posted by Em Yeu Anh Suppose that and for all Prove that this sequence converges and find its limit. I was hoping that I could avoid induction on this one but I don't know any other method to prove this. Yes , induction is the key here. Prove that this is monotone increasing sequence and that Tonio
You can prove that the sequence is crecent and is bounded. To calculate the limit, you can use that the subsequences of a sequences converges to the same limit. Then,
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