【答案】
【答案解析】
a△b=A/(a(a+b))=A(1/a - 1/(a+b))
(1△1)+(2△1)+(3△1)+(4△1)+……+(1996△1)
=A(1/1-1/2) + A(1/2-1/3) + A(1/3 -1/4) + ... + A(1/1996-1/1997)
=A(1 - 1/2 + 1/2 -1/3 + 1/3 -1/4 + ... + 1/1996 -1/1997)
=A(1-1/1997)
=A*1996/1997 =1996
因此,A=1997