[All Steps] Prove than any real sequence x_n that satisfies |x_n-x_n+1|≤ 1/2^n for all n is
Question: Prove than any real sequence \(\left\{ {{x}_{n}} \right\}\) that satisfies \(|{{x}_{n}}-{{x}_{n+1}}|\le \frac{1}{{{2}^{n}}}\) for all n is convergent.
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