lim n→∞ an^2+bn+1/3n-2=-2,求a,b之值

问题描述:

lim n→∞ an^2+bn+1/3n-2=-2,求a,b之值
1个回答 分类:数学 2014-12-14

问题解答:

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lim n→∞ an^2+bn+1/3n-2
=lim n→∞ ( an + b + 1/n )/ (3-2/n)
∴ a = 0
lim n→∞ an^2+bn+1/3n-2
= lim n→∞ bn+1/3n-2
= lim n→∞ [b + 1/n]/[3-2/n]
= b/3 = -2
∴ b = -6
 
 
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