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Day 2, Problem 7
IMC 2015 · Problem 7
Day 2
22nd IMC · Blagoevgrad, Bulgaria
Statement
Compute
lim
A
→
+
∞
1
A
∫
1
A
A
1
x
d
x
.
\lim_{A \to +\infty} \frac{1}{A} \int_1^A A^{\frac{1}{x}}\,\mathrm{d}x.
A
→
+
∞
lim
A
1
∫
1
A
A
x
1
d
x
.
Official solution
Reveal
Hidden so you can work on the problem first.
Proposed by Jan ustek, University of Ostrava.
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Day 2 · Problem 8