Question: Let

\[f\left( x \right)=\left\{ \begin{aligned} & {{x}^{2}}\,\,\,\,\,\,\,\,\,\,\,\,\,x<1 \\ & kx-3\,\,\,\,\,\,x\ge 1 \\ \end{aligned} \right.\]

(a) Find \(\underset{x\to {{1}^{-}}}{\mathop{\lim }}\,f\left( x \right)\)

(b) Find \(\underset{x\to {{1}^{-}}}{\mathop{\lim }}\,f\left( x \right)\)

(c) For what value of k does f have a limit?