Which of the following statements is NOT a necessary hypothesis for applying the…

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

Problem

Which of the following statements is NOT a necessary hypothesis for applying the integral test to determine the convergence of the series ∑n=1∞an\sum_{n=1}^{\infty} a_n? (a) The sequence {an} is eventually positive.\text{The sequence }\{a_n\}\text{ is eventually positive.} (b) The function that matches an is continuous on [1,∞).\text{The function that matches }a_n\text{ is continuous on }[1,\infty). (c) The function that matches an is bounded above on [1,∞).\text{The function that matches }a_n\text{ is bounded above on }[1,\infty). (d) The function that matches an is eventually decreasing.\text{The function that matches }a_n\text{ is eventually decreasing.}

Related theory

Browse the problem library