Briefly explain why convergence of the series guarantees convergence of the series .

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

Problem

Briefly explain why convergence of the series ∑n=1∞∣an∣\sum_{n=1}^{\infty} |a_n| guarantees convergence of the series ∑n=1∞an\sum_{n=1}^{\infty} a_n.

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