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Problems
Let
Let
f
(
x
)
=
{
(
1
+
a
x
)
1
/
x
,
x
<
0
1
+
b
,
x
=
0
(
x
+
4
)
1
/
2
−
2
(
x
+
c
)
1
/
3
−
2
,
\text{Let } f(x) = \begin{cases} (1 + ax)^{1/x}, & x < 0 \\ 1 + b, & x = 0 \\ \frac{(x+4)^{1/2} - 2}{(x+c)^{1/3} - 2}, & \end{cases}
Let
f
(
x
)
=
⎩
⎨
⎧
(
1
+
a
x
)
1/
x
,
1
+
b
,
(
x
+
c
)
1/3
−
2
(
x
+
4
)
1/2
−
2
,
x
<
0
x
=
0
…
Mathematics
Problem
Let
Let
f
(
x
)
=
{
(
1
+
a
x
)
1
/
x
,
x
<
0
1
+
b
,
x
=
0
(
x
+
4
)
1
/
2
−
2
(
x
+
c
)
1
/
3
−
2
,
\text{Let } f(x) = \begin{cases} (1 + ax)^{1/x}, & x < 0 \\ 1 + b, & x = 0 \\ \frac{(x+4)^{1/2} - 2}{(x+c)^{1/3} - 2}, & \end{cases}
Let
f
(
x
)
=
⎩
⎨
⎧
(
1
+
a
x
)
1/
x
,
1
+
b
,
(
x
+
c
)
1/3
−
2
(
x
+
4
)
1/2
−
2
,
x
<
0
x
=
0
be continuous at
x
=
0
x = 0
x
=
0
. Then
e
a
b
c
e^a bc
e
a
b
c
is equal to
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