(All Steps) If f(x)= √2-x x<2 , x^3+k(x+1) x≥ 2 , determine the value of the constant k for which x→ 2lim f(x)
Question: If
\[f\left( x \right)=\left\{ \begin{aligned} & \sqrt{2-x}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x<2 \\ & {{x}^{3}}+k\left( x+1 \right)\,\,\,\,\,\,x\ge 2 \\ \end{aligned} \right.\]
determine the value of the constant k for which \(\underset{x\to 2}{\mathop{\lim }}\,f\left( x \right)\) exists.
Deliverable: Word Document 
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