Which of the following is NOT required to establish the convergence of an infinite…

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Which of the following is NOT required to establish the convergence of an infinite series of the form ∑n=1∞(−1)nbn\displaystyle \sum_{n=1}^{\infty} (-1)^{n} b_n using the alternating series test? (a) {bn} is eventually decreasing in n\{b_n\} \text{ is eventually decreasing in } n (b) bn>0 for all nb_n>0 \text{ for all } n (c) {bn} is bounded above by 1\{b_n\} \text{ is bounded above by } 1 (d) lim⁡n→∞bn=0\displaystyle \lim_{n\to\infty} b_n = 0

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