Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

If $f(x)=\left\{\begin{array}{cc}\frac{\tan \left(\frac{\pi}{4}-x\right)}{\cot 2 x}, & x \neq \frac{\pi}{4} \\ k, & x=\frac{\pi}{4}\end{array}\right.$ is continuous at $x=\frac{\pi}{4}$, then the value of 'k' is:

Options:

1

2

$\frac{1}{2}$

$-\frac{1}{2}$

Correct Answer:

$\frac{1}{2}$

Explanation:

The correct answer is Option (3) - $\frac{1}{2}$