The function f(x)= cases kx+1, & x<2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The function f(x)={kx+1,x<2,x2,x≥2f(x)=\begin{cases} kx+1, & x<2,\\ x^{2}, & x\ge 2 \end{cases} should be continuous at x=2x=2. Find the value of kk.

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