Let be defined by f(x)= cases kx+1, & x<2

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

Problem

Let

f

be defined by

f(x)=\begin{cases} kx+1, & x<2,\\ x^{2}-k, & x\ge 2. \end{cases}

Find the value of

k

that makes

f

continuous at

x=2

.

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