Math plugin<m>S(f)(t)=a_{0}+sum{n=1}{+infty}{a_{n} cos(n omega t)+b_{n} sin(n omega t)}</m> <m 28>delim{|}{{1/N} sum{n=1}{N}{gamma(u_n)} - 1/{2 pi} int{0}{2 pi}{gamma(t) dt}}{|} ⇐ epsilon/3</m> <m 20> int{x}{2}{dx} = {1}/{3}x^3 int{0}{1}{x^2 dx} = {1}/{3} </m> <m 16> 3/{4 pi} sqrt{4.x^2 12} </m> <m 16> lim{n right infty} sum{k=1}{infty}{ 1/{k^2}} = {pi^2}/{6}e^{i pi} + 1 =0 </m> Latex<latex> \frac{3}{4 \pi} \sqrt{4 \cdot x^2 12}\\ \lim_{n \to \infty} \sum_{k=1}^n \frac{1}{k^2} = \frac{\pi^2}{6} e^{i \pi} + 1 = 0 \\ </latex> |