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Consider the function f(x) = = (a) Fill in the following table of values for f(x): X = f(x) = lim x0 -0.1 =

 

Consider the function f(x) = = (a) Fill in the following table of values for f(x): X = f(x) = lim x0 -0.1 = 5*-1 X -0.01 -0.001 -0.0001 0.0001 (b) Based on your table of values, what would you expect the limit of f(x) as x approaches zero to be? 5*-1 X 0.001 0.01 0.1 (c) Graph the function to see if it is consistent with your answers to parts (a) and (b). By graphing, find an interval for x near zero such that the difference between your conjectured limit and the value of the function is less than 0.01. In other words, find a window of height 0.02 such that the graph exits the sides of the window and not the top or bottom. What is the window? x y

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