Limits for AP Exams
Master Limits for AP Exams with focused practice questions, exam-specific revision, and review loops.
Practice Questions
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If lim(x→a-)f(x)=4 and lim(x→a+)f(x)=7, what is lim(x→a)f(x)?
A table gives f(1.9)=4.61, f(1.99)=4.9601, f(2.01)=5.0401, and f(2.1)=5.41. Which value is the best estimate of lim(x→2)f(x)?
Evaluate lim(x→0) sin(7x)/x.
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Evaluate lim(x→∞) (5x^2-2x+1)/(2x^2+7).
Evaluate lim(x→4) 1/(x-4)^2.
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Let f(x)=x+2 for x<1 and f(x)=4-x for x≥1. What is lim(x→1) f(x)?
Evaluate lim(x→0-) |x|/x.
Evaluate lim(x→0) [sqrt(x+4)-2]/x.
Evaluate lim(x→3) (x^2 - 9)/(x - 3).
Evaluate lim(x→2) (x^2 + 3x - 1).
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Concept Overview
Limits is part of the AP Calculus preparation path for AP Exams.
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