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(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/49×51)
人气:109 ℃ 时间:2020-06-06 21:37:05
解答
原式=2^2/((2-1)*(2+1))*3^2/((3-1)*(3+1))*…*50^2/((50-1)*(50+1))
=2/1*2/3*3/2*3/4*…*50/49*50/51
=2*50/51
=100/51
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