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Mathematics
Mathematics
Problem
For what real numbers
a
a
a
and
b
b
b
is the piecewise function
h
(
x
)
=
{
sin
x
,
x
≤
0
,
a
x
+
b
,
x
>
0
h(x)=\begin{cases}\sin x, & x\le 0,\\ ax+b, & x>0\end{cases}
h
(
x
)
=
{
sin
x
,
a
x
+
b
,
x
≤
0
,
x
>
0
continuous at
x
=
0
x=0
x
=
0
?
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