Choose the correct answer.
The function f(x) = x – [x], where [.] denotes the greatest integer function is

Question

Choose the correct answer. The function f(x) = x – [x], where [.] denotes the greatest integer function is

Philoid · Accepted Answer

Given function f(x) = x – [x]

For any integer n,

LHL:

RHL:

Hence, f(x) is not continuous at integer points.

∴ Given function is continuous on non integer points only.

Choose the correct answer.The function f(x) = x – [x], where [.] denotes the greatest integer function is