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.

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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 II. Since x – 1 results in 0/0, it is a HOLE, NOT asymptote III. X X X X

Yup….that’s it…

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

NO CALCULATOR X X

Which of the following are asymptotes of y + xy – 2x = 0? I.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

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

Find the vertical and horizontal asymptotes of

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