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CalculusMediumLimits and Continuity

Limits and Continuity · Medium problem

Find the constant kk that makes f(x)={kx2−3,x<24x+k,x≥2f(x)=\begin{cases}kx^2-3, & x<2\\ 4x+k, & x\ge 2\end{cases} continuous at x=2x=2.