Practicing Success
Practicing Success
CUET Preparation Today
The function $f(x)=\left\{\begin{matrix}\frac{sinx}{x}+cosx, & if \, x≠0\\k, & if\, x=0 \end{matrix}\right.$ is continuous at x=0, then the value of k is : |
2 3 4 1 |
2 |
The correct answer is Option (1) → 2 $f(0)=k$ $\underset{x→0}{\lim}f(x)=\underset{x→0}{\lim}\frac{\sin x}{x}+\cos x=1+1=2$ so $k=2$ |
