我自己推的这两个式子对吗?
π=limn→∞4n2×(∑i=1nn2−i2)\pi=\lim_{n \to \infty}\dfrac{4}{n^2}\times\left(\sum^{n}_{i=1}\sqrt{n^2-i^2}\right)π=limn→∞n24×(∑i=1nn2−i2)
arcsina=−1−a2×a+limn→∞2×a2n2×(∑i=1nn2a2−i2)\arcsin a=-\sqrt{1-a^2}\times a+\lim_{n \to \infty}\dfrac{2\times a^2}{n^2}\times\left(\sum^{n}_{i=1}\sqrt{\dfrac{n^2}{a^2}-i^2}\right)arcsina=−1−a2×a+limn→∞n22×a2×(∑i=1na2n2−i2)