Mathematics

Problem

The

n

th partial sum of an infinite series is given by

S_n=4-\dfrac{3}{n}+\dfrac{(-1)^n}{2n}

. What can be concluded about the series? a) It diverges because the partial sums oscillate indefinitely. b) It converges, and the series sums to

4

. c) It converges, and the series sums to

4.5

. d) It diverges because the terms of the series do not tend to zero.