(3²+1²)/(3²-1²)+(5²+1)/(5²-1)+(7²+1)/7²-1)+……+(1995²+1)/(1995²-1)=
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![(3²+1²)/(3²-1²)+(5²+1)/(5²-1)+(7²+1)/7²-1)+……+(1995²+1)/(1995²-1)=](/uploads/image/z/1981048-40-8.jpg?t=%283%26%23178%3B%2B1%26%23178%3B%29%2F%283%26%23178%3B-1%26%23178%3B%29%2B%285%26%23178%3B%2B1%29%2F%285%26%23178%3B-1%29%2B%287%26%23178%3B%2B1%29%2F7%26%23178%3B-1%29%2B%E2%80%A6%E2%80%A6%2B%EF%BC%881995%26%23178%3B%2B1%29%2F%281995%26%23178%3B-1%29%3D)
(3²+1²)/(3²-1²)+(5²+1)/(5²-1)+(7²+1)/7²-1)+……+(1995²+1)/(1995²-1)=
(3²+1²)/(3²-1²)+(5²+1)/(5²-1)+(7²+1)/7²-1)+……+(1995²+1)/(1995²-1)=
(3²+1²)/(3²-1²)+(5²+1)/(5²-1)+(7²+1)/7²-1)+……+(1995²+1)/(1995²-1)=
(3²+1²)/(3²-1²)=1+2/[2×4]=1+(4-2)/[2×4]1+1/2-1/4
(5²+1)/(5²-1)=1+2/(5²-1)=1+(6-4)/[4×6]=1+1/4-1/6
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(1995²+1)/(1995²-1)=1+(1996-1994)/[1994×1996]=1+1/1994-1/1996
(3²+1²)/(3²-1²)+(5²+1)/(5²-1)+(7²+1)/7²-1)+……+(1995²+1)/(1995²-1)
=997+1/2-1/1996
=997又997/1996