x^3+3x^2-x-3/x^2+x-6 当x趋向于-3时候的极限

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x^3+3x^2-x-3/x^2+x-6当x趋向于-3时候的极限x^3+3x^2-x-3/x^2+x-6当x趋向于-3时候的极限x^3+3x^2-x-3/x^2+x-6当x趋向于-3时候的极限(x^3

x^3+3x^2-x-3/x^2+x-6 当x趋向于-3时候的极限
x^3+3x^2-x-3/x^2+x-6 当x趋向于-3时候的极限

x^3+3x^2-x-3/x^2+x-6 当x趋向于-3时候的极限
(x^3+3x^2-x-3)/(x^2+x-6)
=[(x^2-1)(x+3)]/[(x-2)(x+3)]
=(x^2-1)/(x-2) .约去(x+3)
所以原式x趋向于-3时的极限
=[(-3)^2-1]/(-3-2)
=-8/5

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