Lim of (x^3-13x+12) / (x^3-14x+15) as x approaches 3 without using L hopital's rule.

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Tatum Nolan

Mathematics

25 April, 03:01

Lim of (x^3-13x+12) / (x^3-14x+15) as x approaches 3 without using L hopital's rule.

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Karlie Banks · Answer 1

Lim of (x^3 - 13x + 12) / (x^3 - 14x + 15) as x approaches 3 =

Lim of (x - 3) (x^2 + 3x - 4) / (x - 3) (x^2 + 3x - 5) as x approaches 3 = Lim of (x^2 + 3x - 4) / (x^2 + 3x - 5) as x approaches 3 = ((3) ^2 + 3 (3) - 4) / ((3) ^2 + 3 (3) - 5) = (9 + 9 - 4) / (9 + 9 - 5) = 14/13