Let a. Sketch the graph of f. b. Find c. Find a value of x on the positive side of 3 for
Chapter 2, Problem 7(choose chapter or problem)
Let a. Sketch the graph of f. b. Find c. Find a value of x on the positive side of 3 for which f(x) = 100. Choose several values of x closer to 3 than this, and show numerically that f(x) > 100 for all of these values. What does it mean to say that the limit of f(x) is infinity as x approaches 3 from the positive side? How is the line x = 3 related to the graph of f ? d. What value of x > 3 makes f(x) = 2.001? Choose several values of x greater than this number and show numerically that f(x) is within 0.001 unit of 2 for each of these numbers. What does it mean to say that thelimit of f(x) is 2 as x approaches infinity?How is the line y = 2 related to the graph?
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