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Problems
Let
f
(
x
)
=
{
x
2
−
4
x
−
2
,
x
≠
2
,
k
,
x
=
2.
f(x)= \begin{cases} \dfrac{x^{2}-4}{x-2}, & x\neq2,\\[4pt] k, & x=2. \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
k
,
x
=
2
,
x
=
2.
…
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
4
x
−
2
,
x
≠
2
,
k
,
x
=
2.
f(x)= \begin{cases} \dfrac{x^{2}-4}{x-2}, & x\neq2,\\[4pt] k, & x=2. \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
k
,
x
=
2
,
x
=
2.
For which value of
k
k
k
is
f
f
f
continuous at
x
=
2
x=2
x
=
2
? a)
k
=
2
k=2
k
=
2
b)
k
=
0
k=0
k
=
0
c)
k
=
4
k=4
k
=
4
d)
k
=
6
k=6
k
=
6
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