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Problems
If
f
(
x
)
=
{
a
∣
x
∣
+
x
2
−
2
(
sin
∣
x
∣
)
(
cos
∣
x
∣
)
x
,
x
≠
0
b
,
x
=
0
f(x) = \begin{cases} \frac{a|x|+x^2-2(\sin |x|)(\cos |x|)}{x}, & x \neq 0 \\ b, & x = 0 \end{cases}
f
(
x
)
=
{
x
a
∣
x
∣
+
x
2
−
2
(
s
i
n
∣
x
∣
)
(
c
o
s
∣
x
∣
)
,
b
,
x
=
0
x
=
0
…
Mathematics
Problem
If
f
(
x
)
=
{
a
∣
x
∣
+
x
2
−
2
(
sin
∣
x
∣
)
(
cos
∣
x
∣
)
x
,
x
≠
0
b
,
x
=
0
f(x) = \begin{cases} \frac{a|x|+x^2-2(\sin |x|)(\cos |x|)}{x}, & x \neq 0 \\ b, & x = 0 \end{cases}
f
(
x
)
=
{
x
a
∣
x
∣
+
x
2
−
2
(
s
i
n
∣
x
∣
)
(
c
o
s
∣
x
∣
)
,
b
,
x
=
0
x
=
0
is continuous at
x
=
0
x = 0
x
=
0
, then
a
+
b
a + b
a
+
b
is equal to
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