Differentiable Convergent Sequence and Mean Value Theorem Applied Analysis Problem

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(6) The sequence {an} is defined by aj = 1 and
1
an+1 = (2an +1)
– (2an +1)1, n = 1, 2…
Show that the sequence is convergent.
2
4

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Tags:
mean value theorem

continuous

differentiable

Convergent sequence

only root

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