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Mathematics
Mathematics
Problem
A function
g
g
g
is defined by
g
(
x
)
=
{
k
x
+
1
,
x
<
2
3
,
x
≥
2
g(x)=\begin{cases} kx+1, & x<2\\ 3, & x\ge 2 \end{cases}
g
(
x
)
=
{
k
x
+
1
,
3
,
x
<
2
x
≥
2
For which value of
k
k
k
does
lim
x
→
2
g
(
x
)
\displaystyle\lim_{x\to 2}g(x)
x
→
2
lim
g
(
x
)
exist? a)
k
=
1
2
k=\dfrac12
k
=
2
1
b)
k
=
3
k=3
k
=
3
c)
k
=
1
k=1
k
=
1
d)
k
=
0
k=0
k
=
0
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