For x ∈ R, let [x] denote the greatest integer ≤ x, then the sum of the series [-1; 3] + [-1; 3 - 1/100] + [-1; 3 - 2/100] + ... + [-1; 3

For x ∈ R, let [x] denote the greatest integer ≤ x, then the sum of the series [-1; 3] + [-1; 3 - 1/100] + [-1; 3 - 2/100] + ... + [-1; 3 - 99/100] is?

Eduprobe

Question:

For x ∈ R, let [x] denote the greatest integer ≤ x, then the sum of the series [-1; 3] + [-1; 3 - 1/100] + [-1; 3 - 2/100] + ... + [-1; 3 - 99/100] is?

Solution: