极限 (n→∞) lim[1+1/(3n)]^(4n-2)原式= (n→∞) lim{[1+1/(3n)]^(4n)}/ [1+1/(3n)]^2= (n→∞) lim[1+1/(3n)]^(2n)=2/3 请问是错在哪里了?
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![极限 (n→∞) lim[1+1/(3n)]^(4n-2)原式= (n→∞) lim{[1+1/(3n)]^(4n)}/ [1+1/(3n)]^2= (n→∞) lim[1+1/(3n)]^(2n)=2/3 请问是错在哪里了?](/uploads/image/z/3653935-7-5.jpg?t=%E6%9E%81%E9%99%90+%28n%E2%86%92%E2%88%9E%29+lim%5B1%2B1%2F%283n%29%5D%5E%284n-2%29%E5%8E%9F%E5%BC%8F%3D+%28n%E2%86%92%E2%88%9E%29+lim%7B%5B1%2B1%2F%283n%29%5D%5E%284n%29%7D%2F+%5B1%2B1%2F%283n%29%5D%5E2%3D+%28n%E2%86%92%E2%88%9E%29+lim%5B1%2B1%2F%283n%29%5D%5E%282n%29%3D2%2F3+%E8%AF%B7%E9%97%AE%E6%98%AF%E9%94%99%E5%9C%A8%E5%93%AA%E9%87%8C%E4%BA%86%3F)
极限 (n→∞) lim[1+1/(3n)]^(4n-2)原式= (n→∞) lim{[1+1/(3n)]^(4n)}/ [1+1/(3n)]^2= (n→∞) lim[1+1/(3n)]^(2n)=2/3 请问是错在哪里了?
极限 (n→∞) lim[1+1/(3n)]^(4n-2)
原式= (n→∞) lim{[1+1/(3n)]^(4n)}/ [1+1/(3n)]^2= (n→∞) lim[1+1/(3n)]^(2n)=2/3 请问是错在哪里了?
极限 (n→∞) lim[1+1/(3n)]^(4n-2)原式= (n→∞) lim{[1+1/(3n)]^(4n)}/ [1+1/(3n)]^2= (n→∞) lim[1+1/(3n)]^(2n)=2/3 请问是错在哪里了?
2n怎么来的?指数是相减,不是相除
原式= lim(n→∞) lim{[1+1/(3n)]^[(3n)*(4n-2)/3n]
= lim(n→∞) lim{[1+1/(3n)]^(3n)}^[(4n-2)/3n]
=e^(4/3)
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