Let f(x)= cases x^ 2 -4 x-2 , & x 2, [4pt] k, & x=2

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)= \begin{cases} \dfrac{x^{2}-4}{x-2}, & x\neq2,\\[4pt] k, & x=2. \end{cases}

For which value of

k

is

f

continuous at

x=2

? (a)

k=2

(b)

k=0

(c)

k=4

(d)

k=6

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