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limn趋近于正无穷{1/(n+1)^2+1/(n+2)^2+……+1/(2n)^2}=
人气:385 ℃ 时间:2020-09-27 17:55:09
解答
lim(n->∞){1/(n+1)^2+1/(n+2)^2+……+1/(2n)^2}
=∫(0->1) dx/(1+x^2)
=arctanx |(0->1)
=π/4
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