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AP Calculus BC Monday, 31 August 2015 OBJECTIVE TSW find infinite limits FORM DUE (only if it is signed) –Information Sheet (wire basket) If you have t-shirt.

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Presentation on theme: "AP Calculus BC Monday, 31 August 2015 OBJECTIVE TSW find infinite limits FORM DUE (only if it is signed) –Information Sheet (wire basket) If you have t-shirt."— Presentation transcript:

1 AP Calculus BC Monday, 31 August 2015 OBJECTIVE TSW find infinite limits FORM DUE (only if it is signed) –Information Sheet (wire basket) If you have t-shirt money, bring it up after the beginning bell. QUIZ: Sec. 2.2 – 2.4, Trigonometric Review is tomorrow, Tuesday, 01 September 2015. –Pick up (ungraded) assignments on the front table if you want to use them to study for the quiz. –If you pick them up today, you will turn them in tomorrow.

2 Sec. 2.4: Infinite Limits

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8 In other words, when x = c, and then there is a vertical asymptote at x = c. # other than 0

9 Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x = –1, numerator ≠ 0 and denominator = 0,  VA @ x = –1

10 Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x = –1 and x = 1, numerator ≠ 0 and denominator = 0,  VA @ x = –1 and x = 1

11 Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x =  (and all multiples of  ), numerator ≠ 0 and denominator = 0,  VA @ x = k , k є 

12 Sec. 2.4: Infinite Limits Ex:Determine all vertical asymptotes. At x = −2, numerator ≠ 0 and denominator = 0,  VA @ x = −2

13 Sec. 2.4: Infinite Limits Ex:Determine the limit. so the function has a VA @ x = 1 A negative # getting smaller

14 Sec. 2.4: Infinite Limits

15 Ex:Determine the limit.

16 Sec. 2.4: Infinite Limits Ex:Determine the limit.

17 Sec. 2.4: Infinite Limits Ex:Determine the limit.


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