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Mathematics
Mathematics
Problem
For
0
≤
x
≤
4
0\le x\le 4
0
≤
x
≤
4
, define
p
(
x
)
=
{
x
+
2
,
0
≤
x
<
4
,
k
,
x
=
4.
p(x)=\begin{cases} \sqrt{x+2},& 0\le x<4,\\ k,& x=4. \end{cases}
p
(
x
)
=
{
x
+
2
,
k
,
0
≤
x
<
4
,
x
=
4.
Find
k
k
k
so that
p
p
p
is continuous on the closed interval
[
0
,
4
]
[0,4]
[
0
,
4
]
.
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