# More fun in 2016

Calculus Level 5

$\large \displaystyle \lim _{n \to \infty} \int _0^1 x^{2016} \left(\left\{ nx \right\} \right)^{2016} \, dx =\frac {1}{a^2}$

Find $$|a|$$.

Notation: $$\{ \cdot \}$$ denotes the fractional part function.

×