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Mathematics
Mathematics
Problem
Find the value of
k
k
k
that makes the function
f
(
x
)
=
{
x
2
−
4
x
−
2
,
x
≠
2
,
k
,
x
=
2
f(x)= \begin{cases} \dfrac{x^{2}-4}{x-2}, & x\ne 2,\\ k, & x=2 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
k
,
x
=
2
,
x
=
2
continuous at
x
=
2
x=2
x
=
2
. a)
6
6
6
b)
2
2
2
c)
4
4
4
d)
0
0
0
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