已知lim n→无穷 (an^2+bn+5)/(3n-2)=2,求a,b的值

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已知lim n→无穷 (an^2+bn+5)/(3n-2)=2,求a,b的值

已知lim n→无穷 (an^2+bn+5)/(3n-2)=2,求a,b的值
已知lim n→无穷 (an^2+bn+5)/(3n-2)=2,求a,b的值

已知lim n→无穷 (an^2+bn+5)/(3n-2)=2,求a,b的值
很显然,如果a不为0,该极限不存在,因为an^2+bn+5是3n-2的高阶无穷大
所以a=0
(bn+5)/(3n-2) = (b+5/n)(3-2/n)
5/n, 2/n可以忽略,所以极限等于b/3 = 2,所以b=6

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