第1个回答 2015-09-17
利用级数:
arcsinx=x+(1/2)(x^3/3)+(1/2)(3/4)(x^5/5)+(1/2)(3/4)(5/6)(x^7/7)+(1/2)(3/4)(5/6)(7/8)(x^9/9)+...
取:x=1/2
得:π/6=1/2+(1/2^4)(1/3)+(1/2^6)(3/4)(1/5)+(1/2^8)(3/4)(5/6)(1/7)+(1/2^10)(3/4)(5/6)(7/8)(1/9)+...
即:π=3+1/8+9/640+15/7168+35/98304+...本回答被提问者和网友采纳