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limx趋向于∞ (a+1)x^3+bx^2+2/2x^2+x+1=-2,求a,b的值.
人气:495 ℃ 时间:2020-05-22 02:32:39
解答
lim(x->∞)[(a+1)x^3+bx^2+2] /[2x^2+x+1 ]=-2
a+1 =0
=> a=-1
and
b/2 = -2
b= -4能否再详细些?能否再详细些?分母 =x^3
分子 =x^2
lim(x->∞) f(x) ->∞
所以分母 只能是x^2
=> a-1 =0

lim(x->∞)[bx^2+2] /[2x^2+x+1 ]=-2

lim(x->∞)[b+2/x^2] /[2+1/x+1/1/x^2 ]=-2
b/2 =-2
b=-4
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