Let h(x)= cases kx+1, & x3

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

Problem

Let

h(x)=\begin{cases}kx+1, & x<3,\\[4pt]c, & x=3,\\[4pt]\dfrac{x^{2}-9}{x-3}, & x>3.\end{cases}

Find the values of

k

and

c

that make

h

continuous at

x=3

.

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