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Mathematics
Mathematics
Problem
The function
h
h
h
is defined by
h
(
x
)
=
sin
x
x
h(x)=\dfrac{\sin x}{x}
h
(
x
)
=
x
sin
x
for
x
≠
0
x\neq 0
x
=
0
and
h
(
0
)
=
k
h(0)=k
h
(
0
)
=
k
. Determine the value of
k
k
k
that makes
h
h
h
continuous at
x
=
0
x=0
x
=
0
.
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