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Section 5.3 – Limits Involving Infinity

Section 5.3 – Limits Involving Infinity. X. X. Which of the following is true about. I. f is continuous at x = 1 II. The graph of f has a vertical asymptote at x = 1 III. The graph of f has a horizontal asymptote at y = 1/2. I. f(1) results in zero in denominator….NO.

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Section 5.3 – Limits Involving Infinity

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  1. Section 5.3 – Limits Involving Infinity

  2. X X

  3. Which of the following is true about I. f is continuous at x = 1 II. The graph of f has a vertical asymptote at x = 1 III. The graph of f has a horizontal asymptote at y = 1/2 I. f(1) results in zero in denominator….NO II. Since x – 1 results in 0/0, it is a HOLE, NOT asymptote X X III. X X

  4. Yup….that’s it…

  5. [-50, 50] [-10, 10] CALCULATOR REQUIRED X

  6. NO CALCULATOR X X

  7. Which of the following are asymptotes of y + xy – 2x = 0? • x = -1 II. x = 1 III. y = 2 • A. I only B. II only C. III only D. I and III only E. II and III only X X

  8. X X X X X X X X X X Try these…evaluate each of the following limits:

  9. Find the vertical and horizontal asymptotes of

  10. Since neither cancels with the numerator, there are two vertical asymptotes…TRUE X X X X

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