[50分]求定积分极限问题一则[解出50分加分]Find the limit,as n goes to infinity,of the integral from 1 to 2 of the functionf(x) = (cos x)(Arctan nx) 求lim(n->无穷大) [f(x)从1到2的积分]
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![[50分]求定积分极限问题一则[解出50分加分]Find the limit,as n goes to infinity,of the integral from 1 to 2 of the functionf(x) = (cos x)(Arctan nx) 求lim(n->无穷大) [f(x)从1到2的积分]](/uploads/image/z/12948453-45-3.jpg?t=%EF%BC%BB50%E5%88%86%EF%BC%BD%E6%B1%82%E5%AE%9A%E7%A7%AF%E5%88%86%E6%9E%81%E9%99%90%E9%97%AE%E9%A2%98%E4%B8%80%E5%88%99%EF%BC%BB%E8%A7%A3%E5%87%BA50%E5%88%86%E5%8A%A0%E5%88%86%EF%BC%BDFind+the+limit%2Cas+n+goes+to+infinity%2Cof+the+integral+from+1+to+2+of+the+functionf%28x%29+%3D+%28cos+x%29%28Arctan+nx%29+%E6%B1%82lim%28n-%3E%E6%97%A0%E7%A9%B7%E5%A4%A7%29+%5Bf%28x%29%E4%BB%8E1%E5%88%B02%E7%9A%84%E7%A7%AF%E5%88%86%5D)
[50分]求定积分极限问题一则[解出50分加分]Find the limit,as n goes to infinity,of the integral from 1 to 2 of the functionf(x) = (cos x)(Arctan nx) 求lim(n->无穷大) [f(x)从1到2的积分]
[50分]求定积分极限问题一则[解出50分加分]
Find the limit,as n goes to infinity,of the integral from 1 to 2 of the function
f(x) = (cos x)(Arctan nx)
求lim(n->无穷大) [f(x)从1到2的积分]
[50分]求定积分极限问题一则[解出50分加分]Find the limit,as n goes to infinity,of the integral from 1 to 2 of the functionf(x) = (cos x)(Arctan nx) 求lim(n->无穷大) [f(x)从1到2的积分]
其实学过实变的话用控制收敛定理的语言更好说一点,不过看样子你差不多应该是大一刚学而已.
那就用两边夹语言来说吧.
因为在1和2之间cosx都是正的,而Arctan nx单调而且都也为正的,所以Arctan n
怎么是英文题目啊 求翻译 我英语很差
lim(n->无穷大),f(x) = (cos x)(Arctan nx)=π/2 cos x
f(x)从1到2的积分=(π/2 sin x)∣=π/2(sin2-sin1)
[50分]求定积分极限问题一则[解出50分加分]Find the limit,as n goes to infinity,of the integral from 1 to 2 of the functionf(x) = (cos x)(Arctan nx) 求lim(n->无穷大) [f(x)从1到2的积分]
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