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Chapter 3: Q. 80 (page 311)
Calculate the limits
The limits of given functionis 0
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For each set of sign charts in Exercises 53鈥�62, sketch a possible
graph of f.
Use a sign chart for to determine the intervals on which each function is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.
Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points.
Sketch the graph of a function f with the following properties:
f is continuous and defined on R;
f(0) = 5;
f(鈭�2) = 鈭�3 and f '(鈭�2) = 0;
f '(1) does not exist;
f' is positive only on (鈭�2, 1).
Use a sign chart for to determine the intervals on which each function is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.
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