Sequence Convergence and Couchy Convergence

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Sequence Convergence and Couchy Convergence

Consider the sequence {xn} that is recursively defined by x1 = 1, x2 = 2, xn+1 = xn + xn−1, n ≥ 2.

(a) Show that { xn+1/xn } is a Cauchy sequence.

(b) Find limn→∞ (xn+1/xn) .

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Sequence Convergence and Couchy Convergence

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