Explain in one sentence why is a necessary condition for the infinite series to have…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Explain in one sentence why lim⁡n→∞an=0\displaystyle\lim_{n\to\infty} a_n=0 is a necessary condition for the infinite series ∑n=1∞an\sum_{n=1}^{\infty} a_n to have any chance of converging.

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