Let f(x)= cases k^ 2 x+3,& x<2 5x-k,& x 2

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

Problem

Let

f(x)=\begin{cases}k^{2}x+3,& x<2\\5x-k,& x\ge 2.\end{cases}

Find the value(s) of

k

for which

f

is continuous at

x=2

.

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