Vertical and Horizontal Asymptotes Vertical Asymptotes A vertical asymptote occurs at x = c when the following are all true 1) f ( c) is undefined 2) f ( x) = ∞ or - ∞ 3) f ( x) = ∞ or - ∞ Taken

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Find the vertical and horizontal asymptotes of the functions given below. Example 1 : f(x) = 4x 2 /(x 2 + 8) Solution : Vertical Asymptote : x 2 + 8 = 0. x 2 = -8. x = √-8. Since √-8 is not a real

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