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A4

Part of 1970 Putnam

Problems(1)

Putnam 1970 A4

Source: Putnam 1970

5/17/2022
Given a sequence (xn)(x_n ) such that lim⁡n→∞xn−xn−2=0,\lim_{n\to \infty} x_n - x_{n-2}=0, prove that lim⁡n→∞xn−xn−1n=0.\lim_{n\to \infty} \frac{x_n -x_{n-1}}{n}=0.
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