5. Let ai > 1 and an+1 = 2-1 for n 2 1. Show that {a,)...

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5. Let ai > 1 and an+1 = 2-1 for n 2 1. Show that {a,) is bounded and 2-1 for n > 1. Show that {an} is bounded and %3D an monotone. Find the limit of {an}. 6. Let b, = 1 and b+1 = 2+ b. Show that {b,}is convergent and find the limit. %3D %3! 5. Let ai > 1 and an+1 = 2-1 for n 2 1. Show that {a,) is bounded and 2-1 for n > 1. Show that {an} is bounded and %3D an monotone. Find the limit of {an}. 6. Let b, = 1 and b+1 = 2+ b. Show that {b,}is convergent and find the limit. %3D %3!