数列极限题 请问 (1-1/2^2)(1-1/3^2)……(1-1/n^2)的极限是？
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[(1-1/2)(1+1/2)] [(1-1/3)(1+1/3)] ... =
(1/2 3/2) (2/3 4/3) (3/4 5/4) (4/5 6/5) ... =
1/2 (3/2 2/3) (4/3 3/4) (5/4 4/5) .... (n+1)/n =
1/2 (n+1)/n = (n+1)/2n --> 1/2
极限是1/2
(1/2 3/2) (2/3 4/3) (3/4 5/4) (4/5 6/5) ... =
1/2 (3/2 2/3) (4/3 3/4) (5/4 4/5) .... (n+1)/n =
1/2 (n+1)/n = (n+1)/2n --> 1/2
极限是1/2
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