Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

The function $f(x)=\left\{\begin{array}{cl}\frac{x^2+2 x-3}{x-1} & , \text { if } x \neq 1 \\ 0 & , \text { if } x=1\end{array}\right.$ is

Options:

Continuous at x = 1

discontinuous at x = 1

Continuous at each real number

discontinuous at each real number

Correct Answer:

discontinuous at x = 1

Explanation:

The correct answer is Option (2) - discontinuous at x = 1