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Mathematics
Mathematics
Problem
A function
f
f
f
is defined by
f
(
x
)
=
{
k
x
+
1
,
x
<
2
,
x
2
−
k
,
x
≥
2.
f(x)=\begin{cases} kx+1, & x<2,\\ x^{2}-k, & x\ge 2. \end{cases}
f
(
x
)
=
{
k
x
+
1
,
x
2
−
k
,
x
<
2
,
x
≥
2.
For which value of
k
k
k
does
lim
x
→
2
f
(
x
)
\displaystyle \lim_{x\to 2} f(x)
x
→
2
lim
f
(
x
)
exist? a)
3
3
3
b)
3
2
\dfrac{3}{2}
2
3
c)
1
1
1
d)
−
1
-1
−
1
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