A reason you might want 0 0 to be something other than 0

Chapter 2, Problem 2AAE

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PROBLEM 2AAE

A reason you might want 0 0 to be something other than 0 or 1 As the number x increases through positive values, the numbers and 1 (ln x) both approach zero. What happens to the number as x increases? Here are two ways to find out.

a. Evaluate ƒ for x = 10,100, 1000, and so on as far as your calculator can reasonably go. What pattern do you see?

b. Graph ƒ in a variety of graphing windows, including windows that contain the origin. What do you see? Trace the y-values along the graph. What do you find?

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