用※定义一种新运算,如果x※y=1/xy+1/(x+1)(y+1),求2※(3※1)的值

问题描述:

用※定义一种新运算,如果x※y=1/xy+1/(x+1)(y+1),求2※(3※1)的值

2※(3※1)
=2※[1/3*1+1/(3+1)(1+1)]
=2※(1/3+1/8)
=2※(8/24+3/24)
=2※11/24
=1/(2*11/24)+1/(1+2)*(1+11/24)
=1/(11/12)+1/(35/8)
=12/11+8/35
=420/385+88/385
=472/385