Let and

Determine the convergence of the sequence.

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- September 26th 2010, 03:38 PMelimDetermine the convergence of a recursive sequence
Let and

Determine the convergence of the sequence. - September 26th 2010, 04:02 PMPlato
Can you show that this sequence is decreasing and bounded?

- September 26th 2010, 09:41 PMelim
Thanks Plato.

We have . Suppose

then and

Thus and so is bounded and decreasing.

Therefore it's convergent and . Now implies that