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1 1) Investigate lim h→0 cos h numerically (and graphically if you have a graphing utility). Then prove that the limit is h2 equal to ;. 1- cos 0 Hint: 1 - cos? 0 1 02 1+ cos 0 02 2) Calculate lim ( In(3x + 1) – In(2x + 1)). 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3ª 4" has a solution.

1 1) Investigate lim h→0 cos h numerically (and graphically if you have a graphing utility). Then prove that the limit is h2 equal to ;. 1- cos 0 Hint: 1 - cos? 0 1 02 1+ cos 0 02 2) Calculate lim ( In(3x + 1) – In(2x + 1)). 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3ª 4" has a solution.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1 – cos h 1) Investigate lim h→0 numerically (and graphically if you have a graphing utility). Then prove that the limit is h2 equal to . 1- cos 0 Hint: 1 – cos? 0 1 02 1+ cos 0 02 2) Calculate lim ( In(3x + 1) – In(2x + 1)). 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3ª = 4" has a solution.
Transcribed Image Text:1 – cos h 1) Investigate lim h→0 numerically (and graphically if you have a graphing utility). Then prove that the limit is h2 equal to . 1- cos 0 Hint: 1 – cos? 0 1 02 1+ cos 0 02 2) Calculate lim ( In(3x + 1) – In(2x + 1)). 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3ª = 4" has a solution.
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