几道求极限的题目(高手进)limn→∞((2^n)*n!/n^n)limx→0√(sin(1/x^2))limn→∞((1^p+2^p+…+n^p)/n^(p+1))(p>0)limx→0+(x/ln(e^x-1))0,0,1/(1+p),e
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![几道求极限的题目(高手进)limn→∞((2^n)*n!/n^n)limx→0√(sin(1/x^2))limn→∞((1^p+2^p+…+n^p)/n^(p+1))(p>0)limx→0+(x/ln(e^x-1))0,0,1/(1+p),e](/uploads/image/z/2472268-4-8.jpg?t=%E5%87%A0%E9%81%93%E6%B1%82%E6%9E%81%E9%99%90%E7%9A%84%E9%A2%98%E7%9B%AE%28%E9%AB%98%E6%89%8B%E8%BF%9B%29limn%E2%86%92%E2%88%9E%28%282%5En%29%2An%21%2Fn%5En%29limx%E2%86%920%E2%88%9A%28sin%281%2Fx%5E2%29%29limn%E2%86%92%E2%88%9E%28%281%5Ep%2B2%5Ep%2B%E2%80%A6%2Bn%5Ep%29%2Fn%5E%28p%2B1%29%29%28p%3E0%29limx%E2%86%920%2B%28x%2Fln%28e%5Ex-1%29%290%2C0%2C1%2F%281%2Bp%29%2Ce)
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几道求极限的题目(高手进)limn→∞((2^n)*n!/n^n)limx→0√(sin(1/x^2))limn→∞((1^p+2^p+…+n^p)/n^(p+1))(p>0)limx→0+(x/ln(e^x-1))0,0,1/(1+p),e
几道求极限的题目(高手进)
limn→∞((2^n)*n!/n^n)
limx→0√(sin(1/x^2))
limn→∞((1^p+2^p+…+n^p)/n^(p+1))(p>0)
limx→0+(x/ln(e^x-1))
0,0,1/(1+p),e
几道求极限的题目(高手进)limn→∞((2^n)*n!/n^n)limx→0√(sin(1/x^2))limn→∞((1^p+2^p+…+n^p)/n^(p+1))(p>0)limx→0+(x/ln(e^x-1))0,0,1/(1+p),e
1.令 Un=[(2^n)*n!]/(n^n)
lim (n→∞) U(n+1)/Un=2/e<1
即无穷级数Un收敛 一般项 Un趋近于0
即 limn→∞((2^n)*n!/n^n)=0
几道求极限的题目(高手进)limn→∞((2^n)*n!/n^n)limx→0√(sin(1/x^2))limn→∞((1^p+2^p+…+n^p)/n^(p+1))(p>0)limx→0+(x/ln(e^x-1))0,0,1/(1+p),e
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