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Mathematics
Mathematics
Problem
Let
a
a
a
be a positive constant number. Consider two curves
C
1
:
y
=
e
x
C_1: y = e^x
C
1
:
y
=
e
x
,
C
2
:
y
=
e
a
−
x
C_2: y = e^{a-x}
C
2
:
y
=
e
a
−
x
. Let
S
S
S
be the area of the part surrounding by
C
1
C_1
C
1
,
C
2
C_2
C
2
and the
Y
Y
Y
-axis, then
lim
a
→
0
S
a
2
\lim_{a \to 0} \frac{S}{a^2}
lim
a
→
0
a
2
S
equals a. 4 b. 1/2 c. 0 d. 1/4
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