(1-1/2²)(1-1/3²)(1-1/3²)……(1-1/10²)

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(1-1/2²)(1-1/3²)(1-1/3²)……(1-1/10²)
(1-1/2²)(1-1/3²)(1-1/3²)……(1-1/10²)

(1-1/2²)(1-1/3²)(1-1/3²)……(1-1/10²)
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(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/10²)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)……(1+1/10)(1-1/10)
=3/2x4/3x5/4x……x11/10x1/2x2/3x3/4x……x9/10
=11/2x1/10
=11/20