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Chapter 3: Q. 39 (page 311)
Calculate each of the limits in Exercises . Some of these limits are made easier by L鈥橦opital鈥檚 rule, and some are not.
.
The exact value ofis,.
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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.
For each graph of f in Exercises 49鈥�52, explain why f satisfies the hypotheses of the Mean Value Theorem on the given interval [a, b] and approximate any values c 鈭� (a, b) that satisfy the conclusion of the Mean Value Theorem.
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.
role="math" localid="1648370582124"
Calculate each of the limits in Exercises 15鈥�20 (a) using
L鈥橦opital鈥檚 rule and (b) without using L鈥橦 藛 opital鈥檚 rule.
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