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CalculusMediumLimits and Continuity

Limits and Continuity · Medium problem

The positive constant kk makes f(x)={sin⁡kxx,x≠03,x=0f(x)=\begin{cases}\dfrac{\sin kx}{x}, & x\ne0\\[4pt] 3, & x=0\end{cases} continuous at x=0x=0. Find kk.