MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Determine the behavior of the series n=1∑∞n5/43.
(a) The series diverges because the constant numerator prevents the terms from decreasing rapidly.
(b) The series converges only conditionally, not absolutely.
(c) The series converges because its exponent exceeds 1.
(d) The series diverges because its exponent is less than 1.