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Pre-calc help?

I need the asymptotes for this problem, the problem says to use limits to describe the behavior at the vertical asymptotes and at the end behavior.

F(x)=(x^3-x^2+x-1)/(x+3)

1 Answer

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  • ted s
    Lv 7
    1 decade ago
    Favorite Answer

    Vertical asymptote at x = -3,as you approach from below -3, F(x) tends to positive infinity while if you approach from above -3 , F(x) tends to negative infinity....you can note that F(x) is also asymptotic to the parabola (x-2)^2 +9 for large |x| values { end behavior} since F(x) = x^2 -4x +13 -[40]/[x+3]....{after division is finished}

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