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AP Calculus AB/Unit 1: Limits and Continuity
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Limit of a Rational Function by Factoring

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Solve the equation: limt5t2t20t5\lim_{t\to5}\frac{t^2-t-20}{t-5}.

t f(t)
4.9 8.9
4.99 8.99
5.01 9.01
5.1 9.1
A

55

B

44

C

Not enough information because the denominator becomes zero at t=5t = 5, neglecting the cancellation of the removable discontinuity.

D

99

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