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Chapter 3: Q. 50 (page 311)
Calculate each of the limits in Exercises . Some of these limits are made easier by considering the logarithm of the limit first, and some are not.
.
The exact value of the limitis,
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Restate Rolle鈥檚 Theorem so that its conclusion has to do with tangent lines.
Use the first derivative test to determine the local extrema of each function in Exercises 39- 50. Then verify your algebraic answers with graphs from a calculator or graphing utility.
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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Sketch the graph of a function f with the following properties:
f is continuous and defined on R;
f has critical points at x = 鈭�3, 0, and 5;
f has inflection points at x = 鈭�3, 鈭�1, and 2.
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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