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Putnam
1979 Putnam
B2
Putnam 1979 B2
Putnam 1979 B2
Source:
April 8, 2022
college contests
Problem Statement
Let
0
<
a
<
b
.
0<a<b.
0
<
a
<
b
.
Evaluate
lim
t
→
0
{
∫
0
1
[
b
x
+
a
(
1
−
x
)
]
t
d
x
}
1
/
t
.
\lim_{t\to 0} \{ \int_{0}^{1} [bx+a(1-x)]^t dx\}^{1/t}.
t
→
0
lim
{
∫
0
1
[
b
x
+
a
(
1
−
x
)
]
t
d
x
}
1/
t
.
[The final answer should not involve any other operations other than addition, subtraction, multiplication, division and exponentiation.]
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