Find the sum of the infinite series whose sequence of partial sums, Sn, is S sub n = 3 - 1/n + 100 (5 points) I got 0, is this right? or is it 3.

Question

A) 0
B) 3
C) 2.99
D) Sum does not exist

Answer 1

as written Sn diverges, since the nth term is 103 - 1/n
However, assuming the usual carelessness with parentheses,
Sn = 3 - 1/(n+100) → 3

How did you get 0? Surely not by using (3-1)/(n+100)