Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

The number of points at which the function f (x) = 1 / x  –[x] is not continuous is at which of the following?

Options:

1

0

\(\infty\)

None of these.

Correct Answer:

\(\infty\)

Explanation:

For all x \(\in \) I, x - [x] = 0

∴ f(x) is discontinuous at infinite number of points.