MathDB
Putnam 1970 A4

Source: Putnam 1970

May 17, 2022
PutnamSequencelimit

Problem Statement

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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