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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
sin
x
,
x
≠
0
c
,
x
=
0
f(x)=\begin{cases}\sin x,& x\neq 0\\ c,& x=0\end{cases}
f
(
x
)
=
{
sin
x
,
c
,
x
=
0
x
=
0
. Given that
f
f
f
is differentiable at
x
=
0
x=0
x
=
0
, determine the value of
c
c
c
.
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