Removable Discontinuity 2: Function is undefined at x = 2. a. Plot the graph of f using

Chapter 2, Problem 26

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Removable Discontinuity 2: Function is undefined at x = 2. a. Plot the graph of f using a friendly window that includes x = 2 as a grid point. What do you notice about the shape of the graph? What feature do you notice at x = 2? What does the limit of f(x) appear to be as x approaches 2? b. Try to evaluate f(2) by direct substitution. What form does your result take? What is the name for an expression of the formtaken by f(2)?c. Algebraically find the limit of f(x) as xapproaches 2 by factoring the numerator,then canceling the (x 2) factors. How doesthe clause . . . but x c . . . in the definitionof limit allow you to do this canceling?d. If x is within ? unit of 2, but not equalto 2, then f(x) is within 0.001 unit of thelimit. What is the largest number that cango in the blank? Show how you find this.e. Write the values for L, c, , and in thedefinition of limit that appears in part d.

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