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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
sin
x
x
,
x
<
0
,
1
,
x
>
0.
f(x)=\begin{cases}\dfrac{\sin x}{x},& x<0,\\1,& x>0.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
sin
x
,
1
,
x
<
0
,
x
>
0.
Evaluate
lim
x
→
0
f
(
x
)
\displaystyle\lim_{x\to0}f(x)
x
→
0
lim
f
(
x
)
. a)
0
0
0
b)
1
1
1
c)
π
180
\dfrac{\pi}{180}
180
π
d) Does not exist
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