Question

For each t ∈ R, let [t] be the greatest integer less than or equal to t.

Then lim(x→0+)x([1/x]+[2/x]+........+[15/x])

(1) is equal to 0.
(2) is equal to 15.
(3) is equal to 120.
(4) does not exist (in R)

Answer 1

Ans. [3]is equal to 120.

Explanation: