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2015 IMC
7
IMC2015, problem 7
IMC2015, problem 7
Source: IMC2015
July 30, 2015
college contests
Integral inequality
IMC2015
Problem Statement
Compute
lim
A
→
+
∞
1
A
∫
1
A
A
1
x
d
x
.
\lim_{A\to+\infty}\frac1A\int_1^A A^{\frac1x}\, dx .
A
→
+
∞
lim
A
1
∫
1
A
A
x
1
d
x
.
Proposed by Jan Šustek, University of Ostrava
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