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Mathematics
Mathematics
Problem
Determine the value of
k
k
k
for which the function
g
(
x
)
=
{
sin
x
x
,
x
≠
0
,
k
,
x
=
0
g(x)=\begin{cases}\dfrac{\sin x}{x}, & x\neq0,\\[4pt]k, & x=0\end{cases}
g
(
x
)
=
⎩
⎨
⎧
x
sin
x
,
k
,
x
=
0
,
x
=
0
is continuous at
x
=
0
x=0
x
=
0
.
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