如何证明该数列极限为0
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如何证明该数列极限为0
![](http://img.wesiedu.com/upload/e/51/e5102a161f0d67a7312bf0ed08e5d4af.jpg)
![](http://img.wesiedu.com/upload/e/51/e5102a161f0d67a7312bf0ed08e5d4af.jpg)
![如何证明该数列极限为0](/uploads/image/z/4663906-34-6.jpg?t=%E5%A6%82%E4%BD%95%E8%AF%81%E6%98%8E%E8%AF%A5%E6%95%B0%E5%88%97%E6%9E%81%E9%99%90%E4%B8%BA0)
lim(n->∞) (2^n - 1) / 3^n
= lim(n->∞) (2^n)/(3^n) - 1/(3^n)
= lim(n->∞) (2/3)^n - (1/3)^n
= 0-0
= 0
= lim(n->∞) (2^n)/(3^n) - 1/(3^n)
= lim(n->∞) (2/3)^n - (1/3)^n
= 0-0
= 0