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.
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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