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Lim n-无穷大 n/(n^2+1^2)+n/(n^2+2^2)+.n/(n^2+n^2)
人气:335 ℃ 时间:2020-01-30 00:39:50
解答
lim(n趋近无穷){n/(n^2+1)+n/(n^2+2^2)+...+n/(n^2+n^2)}
=积分(x从0到1)1/(1+x^2)dx
=arctanx(x从0到1)
=pi/4.
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