一道关于用洛必达法则求极限的题求lim(x->π)(π-x)tan(x/2)这道题我死活求出来都是一无穷大~我的具体步骤是:lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)] =(∞/∞不定式)lim(x->π)sec^2(x/2) / 1 = l
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![一道关于用洛必达法则求极限的题求lim(x->π)(π-x)tan(x/2)这道题我死活求出来都是一无穷大~我的具体步骤是:lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)] =(∞/∞不定式)lim(x->π)sec^2(x/2) / 1 = l](/uploads/image/z/7101415-55-5.jpg?t=%E4%B8%80%E9%81%93%E5%85%B3%E4%BA%8E%E7%94%A8%E6%B4%9B%E5%BF%85%E8%BE%BE%E6%B3%95%E5%88%99%E6%B1%82%E6%9E%81%E9%99%90%E7%9A%84%E9%A2%98%E6%B1%82lim%28x-%3E%CF%80%29%28%CF%80-x%29tan%28x%2F2%29%E8%BF%99%E9%81%93%E9%A2%98%E6%88%91%E6%AD%BB%E6%B4%BB%E6%B1%82%E5%87%BA%E6%9D%A5%E9%83%BD%E6%98%AF%E4%B8%80%E6%97%A0%E7%A9%B7%E5%A4%A7%7E%E6%88%91%E7%9A%84%E5%85%B7%E4%BD%93%E6%AD%A5%E9%AA%A4%E6%98%AF%EF%BC%9Alim%28x-%3E%CF%80%29%28%CF%80-x%29tan%28x%2F2%29+%3D+lim%28x-%3E%CF%80%29tan%28x%2F2%29+%2F+%5B1%2F%28%CF%80-x%29%5D+%3D%28%E2%88%9E%2F%E2%88%9E%E4%B8%8D%E5%AE%9A%E5%BC%8F%EF%BC%89lim%28x-%3E%CF%80%29sec%5E2%28x%2F2%29+%2F+1+%3D+l)
一道关于用洛必达法则求极限的题求lim(x->π)(π-x)tan(x/2)这道题我死活求出来都是一无穷大~我的具体步骤是:lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)] =(∞/∞不定式)lim(x->π)sec^2(x/2) / 1 = l
一道关于用洛必达法则求极限的题
求lim(x->π)(π-x)tan(x/2)
这道题我死活求出来都是一无穷大~我的具体步骤是:
lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)] =(∞/∞不定式)lim(x->π)sec^2(x/2) / 1 = lim(x->π) 1/cos^2(x/2) = ∞
书后的答案是2
我不知道我错在哪里,难道这题不该先化成不定式吗,还是我解题过程中的某个地方错了?
一道关于用洛必达法则求极限的题求lim(x->π)(π-x)tan(x/2)这道题我死活求出来都是一无穷大~我的具体步骤是:lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)] =(∞/∞不定式)lim(x->π)sec^2(x/2) / 1 = l
你分母的求导不对啊.
lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)]
=L'H lim(x->π) [(π-x)^2]/(cosx+1)
=L'H 2lim(x->π) (π-x)/sinx
=L'H 2lim(x->π) (-1)/cosx
=2
一道关于用洛必达法则求极限的题求lim(x->π)(π-x)tan(x/2)这道题我死活求出来都是一无穷大~我的具体步骤是:lim(x->π)(π-x)tan(x/2) = lim(x->π)tan(x/2) / [1/(π-x)] =(∞/∞不定式)lim(x->π)sec^2(x/2) / 1 = l
用洛必达法则 求一道极限数学题如题lim x->∞ (1+ (1/x))^x请用 洛必达法则 解答!谢谢!
洛必达法则求极限的一道题,希望有详解.
洛必达法则求极限的一道题,希望有详解.
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