1.If the function fff defined on R\mathbb{R}R byf(x)={2cosx−1cotx−1,x≠π4k,x=π4f(x) = \begin{cases} \frac{\sqrt{2}\cos x - 1}{\cot x - 1}, & x \neq \frac{\pi}{4} \\ k, & x = \frac{\pi}{4} \end{cases}f(x)={cotx−12cosx−1,k,x=4πx=4πis continuous, then kkk is equal toa.12\frac{1}{2}21b.1c.2d.14\frac{1}{4}41Login to continueOnly logged in users canattempt or see the solution.