Let be defined by p(x)= cases x^ 2 -m x-12 x-3 , & x3

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

Problem

Let

p

be defined by

p(x)= \begin{cases} \dfrac{x^{2}-m x-12}{x-3}, & x<3,\\ m x+n, & x>3. \end{cases}

Determine the values of

m

and

n

for which

\lim_{x\to 3} p(x)

exists.

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