Posted by **Jessica** on Wednesday, January 12, 2011 at 1:08am.

A sequence{an} is given by a1=sqrt(2), an+1=sqrt(2*an).

a) by induction or otherwise, show that {an} is increasing and bounded above by 3. Apply the Monotonic Sequence Theorem to show that lim n-->infinity an exists.

b) Find lim n-->infinity an.

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