Solution: 2016-2 Integral limit

For \( a \geq 0 \), find
\lim_{n \to \infty} n \int_{-1}^0 \left( x + \frac{x^2}{2} + e^{ax} \right)^n dx.

The best solution was submitted by Jang, Kijoung (장기정, 수리과학과 2014학번). Congratulations!

Here is his solution of problem 2016-02.

Alternative solutions were submitted by 국윤범 (수리과학과 2015학번, +3), 김동규 (수리과학과 2015학번, +3), 김동하 (기계공학과 2014학번, +3), 이상민 (수리과학과 2014학번, +3), 이시우 (포항공대 수학과 2013학번, +3), 이종원 (수리과학과 2014학번, +3), 정성진 (수리과학과 2013학번, +3), 최대범 (2016학번, +3), 최인혁 (물리학과 2015학번, +3), Muhammaadfiruz Hasanov (2014학번, +3), 이준호 (2016학번, +2). One incorrect solution was submitted.

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