### International Mathematics Competition for University Students

July 27 - Aug 2 2015, Blagoevgrad, Bulgaria

Home

Results
Individuals
Teams

Official IMC site

### Problem 7

7. Compute $$\lim_{A\to+\infty}\frac1A\int_1^A A^{\frac1x}\dx\,.$$

Proposed by Jan Šustek, University of Ostrava

Hint: Split the interval into three parts.