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**I can solve limits involving infinity.**

Section 5.3 I can solve limits involving infinity. Day 3: 11121cLet h be a function defined for all such that h(4) = -3 and the derivative of h is given by for Write an equation for the line tangent to the graph of h at x = 4.

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X X

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**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

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**Just means find the slope, so… take the derivative!**

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

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NO CALCULATOR X X

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

x = II. x = III. y = 2 A. I only B. II only C. III only D. I and III only E. II and III only X X

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

X X X X

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**Find the vertical and horizontal asymptotes of**

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**Since neither cancels with the numerator,**

there are two vertical asymptotes…TRUE X X

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1 Example 2 Sketch the graph of the function Solution Observe that g is an even function, and hence its graph is symmetric with respect to the y-axis.

1 Example 2 Sketch the graph of the function Solution Observe that g is an even function, and hence its graph is symmetric with respect to the y-axis.

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