The value of `k` which makes `f(x)={sinx/x ,x!=0, and k , x = 0` , continuous at `x=0`,is (a) 8 (b) 1 (c) `-1` (d) none of these

Answer

Option (a)

`k=1`

Explanation

\begin{aligned}
&f(0)=\lim _{x \rightarrow 0} f(x) \\
&k=\lim _{x \rightarrow 0} \frac{\sin x}{x} \\
&k=1
\end{aligned}