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If
f
(
x
)
=
{
1
−
2
sin
x
π
−
4
x
,
if
x
≠
π
4
a
,
if
x
=
π
4
f(x) = \begin{cases} \frac{1-\sqrt{2}\sin x}{\pi-4x}, & \text{if } x \neq \frac{\pi}{4} \\ a, & \text{if } x = \frac{\pi}{4} \end{cases}
f
(
x
)
=
{
π
−
4
x
1
−
2
s
i
n
x
,
a
,
if
x
=
4
π
if
x
=
4
π
…
Mathematics
Problem
If
f
(
x
)
=
{
1
−
2
sin
x
π
−
4
x
,
if
x
≠
π
4
a
,
if
x
=
π
4
f(x) = \begin{cases} \frac{1-\sqrt{2}\sin x}{\pi-4x}, & \text{if } x \neq \frac{\pi}{4} \\ a, & \text{if } x = \frac{\pi}{4} \end{cases}
f
(
x
)
=
{
π
−
4
x
1
−
2
s
i
n
x
,
a
,
if
x
=
4
π
if
x
=
4
π
is continuous at
π
4
\frac{\pi}{4}
4
π
, then
a
a
a
is equal to (a) 4 (b) 2 (c) 1 (d)
1
/
4
1/4
1/4
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