大学高数求极限问题lim n→∞(1+x/n+x^2/2n^2)^(-n) 当n趋向无穷时x/n=0,x^2/2n^2=0,所以()里=1,所以1^(-n)=1,这样做对吗?
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![大学高数求极限问题lim n→∞(1+x/n+x^2/2n^2)^(-n) 当n趋向无穷时x/n=0,x^2/2n^2=0,所以()里=1,所以1^(-n)=1,这样做对吗?](/uploads/image/z/392285-29-5.jpg?t=%E5%A4%A7%E5%AD%A6%E9%AB%98%E6%95%B0%E6%B1%82%E6%9E%81%E9%99%90%E9%97%AE%E9%A2%98lim+n%E2%86%92%E2%88%9E%281%2Bx%2Fn%2Bx%5E2%2F2n%5E2%29%5E%28-n%29+%E5%BD%93n%E8%B6%8B%E5%90%91%E6%97%A0%E7%A9%B7%E6%97%B6x%2Fn%3D0%2Cx%5E2%2F2n%5E2%3D0%2C%E6%89%80%E4%BB%A5%EF%BC%88%EF%BC%89%E9%87%8C%3D1%2C%E6%89%80%E4%BB%A51%5E%28-n%29%3D1%2C%E8%BF%99%E6%A0%B7%E5%81%9A%E5%AF%B9%E5%90%97%3F)
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