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Problems
f
(
x
)
=
{
(
tan
(
π
4
+
x
)
)
1
/
x
,
x
≠
0
k
,
x
=
0
f(x) = \begin{cases} \left( \tan \left( \frac{\pi}{4} + x \right) \right)^{1/x}, & x \neq 0 \\ k, & x = 0 \end{cases}
f
(
x
)
=
{
(
tan
(
4
π
+
x
)
)
1/
x
,
k
,
x
=
0
x
=
0
…
Mathematics
Problem
f
(
x
)
=
{
(
tan
(
π
4
+
x
)
)
1
/
x
,
x
≠
0
k
,
x
=
0
f(x) = \begin{cases} \left( \tan \left( \frac{\pi}{4} + x \right) \right)^{1/x}, & x \neq 0 \\ k, & x = 0 \end{cases}
f
(
x
)
=
{
(
tan
(
4
π
+
x
)
)
1/
x
,
k
,
x
=
0
x
=
0
For what value of
k
k
k
is
f
(
x
)
f(x)
f
(
x
)
continuous at
x
=
0
x = 0
x
=
0
?
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