已知f(x)=1+x分之x求f(1/2004)+f(1/2003)+～+f(1/1)+f(0/1)+f(1/1)～f(2004/1_数学解答

已知f(x)=1+x分之x求f(1/2004)+f(1/2003)+～+f(1/1)+f(0/1)+f(1/1)～f(2004/1）的值?

人气：360 ℃　时间：2020-02-05 20:38:36

解答

f(x)+f(1/x)=x/(1+x)+(1/x)/(1+1/x)=x/(1+x)+1/(x+1)=(x+1)/(x+1)=1f(1/2004)+f(1/2003)+～+f(1/1)+f(0/1)+f(1/1)～f(2004/1）=[f(1/2004)+f(2004/1)]+[f(1/2003)+f(2003/1)]+[f(1/2002)+f(2002/1)]+……+[f(1/1)+f(...