AP Calc BC · Limits and derivatives

Unit 1: Limits and Continuity

2 questions from past AP exams, newest first.

Question Section I · 21

Full practice exam 2012Multiple choice

Question Section I · 21 — 21. The line 5 = y is a horizontal asymptote to the graph of which of the following functions? (A) ( ) sin 5 = x y x (B) 5 = y x (C) 1 5 = - y x (D) 5 1 = - x y x (E) 2 2 20 1 4 - = + x x y x

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 83

Full practice exam 2012Multiple choice

Question Section I · 83 — 83. If the function f is continuous at 3, x = which of the following must be true? (A) ( ) ( ) 3 3 lim x f f x Æ < (B) ( ) ( ) 3 3 lim lim x x f x f x - + Æ Æ π (C) ( ) ( ) ( ) 3 3 3 lim lim x x f f x f x - + Æ Æ = =…

Source: College Board — AP Calculus BC, Full practice exam, 2012

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