Question: Show that the sequence defined by a1 = 1, an+1 = 3 - 1/an Is increasing and an < 3 for all n. Deduce that

Show that the sequence defined by
a1 = 1, an+1 = 3 - 1/an
Is increasing and an < 3 for all n. Deduce that {an} is convergent and find its limit.

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