Consider limx2 x2 = 4 (refer to Example 2). (a) Show that if 0 <

Chapter 2, Problem 5

(choose chapter or problem)

Consider limx2 x2 = 4 (refer to Example 2). (a) Show that if 0 < |x 2| < 0.01, then |x2 4| < 0.05.(b) Show that if 0 < |x 2| < 0.0002, then |x2 4| < 0.0009. (c) Find a value of such that if 0 < |x 2| < , then |x2 4| is less than 104.

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