简便计算2001/(2001+2002/2003)+1/2003
问题描述:
简便计算2001/(2001+2002/2003)+1/2003
答
我计算机记得是0.9999999999999啊,而且简单计算也不会这样啊?
答
2001=2002-1,2003=2002+1 2001/(2001+2002/2003)+1/2003=(2002-1)/[(2002-1)+2002/(2002+1)]+1/(2002+1)=(2002-1)/{[(2002-1)(2002+1)+2002]/(2002+1)}+1/(2002+1)=(2002-1)(2002+1)/[(2002-1)(2002+1)+2002]+1/...