(7²+1)/(7²-1)+(9²+1)/(9²-1)+…+(99²+1)/(99²-1)简便运算 急
问题描述:
(7²+1)/(7²-1)+(9²+1)/(9²-1)+…+(99²+1)/(99²-1)简便运算 急
答
(7²+1)/(7²-1)+(9²+1)/(9²-1)+…+(99²+1)/(99²-1)=[1+2/(7²-1)]+[1+2/(9²-1)]+[1+2/(11²-1)]+……+[1+2/(99²-1)]=1+2/(7+1)(7-1)+1+2/(9+1)(9-1)+1+2/(1...