Let x1 > 1 and xn+1 := 2−1/xn for n ∈ N. Show that xn is...

Let x1 > 1 and xn+1 := 2−1/xn for n ∈ N. Show that xn is bounded and monotone. Find the limit. Prove by induction

Expert Solution

Monotone convergence theorem:- Every bounded monotone sequence of real number is convergent.

Colby Messinger answered 2 years ago

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Question

Let x1 > 1 and xn+1 := 2−1/xn for n ∈ N. Show that xn is...

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