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Analysis. Use the methods in evaluating different indeterminate forms to solve the following problems. 1) Find values of a and b such that sin 3x + ax + bx³ = 0 x3 lim 2) Determine a value for n for which the improper integral nx? +00 dx x³ +1 3x + 1, is convergent, and evaluate the integral for this value of n.

Analysis. Use the methods in evaluating different indeterminate forms to solve the following problems. 1) Find values of a and b such that sin 3x + ax + bx³ = 0 x3 lim 2) Determine a value for n for which the improper integral nx? +00 dx x³ +1 3x + 1, is convergent, and evaluate the integral for this value of n.

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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Analysis. Use the methods in evaluating different indeterminate forms to solve the following problems. 1) Find values of a and b such that sin 3x + ax + bx³ lim x-0 = 0 x3 Determine a value for n for which the improper integral nx? 2) 1 dx (x3 +1 Зх +1, is convergent, and evaluate the integral for this value of n.
Transcribed Image Text:Analysis. Use the methods in evaluating different indeterminate forms to solve the following problems. 1) Find values of a and b such that sin 3x + ax + bx³ lim x-0 = 0 x3 Determine a value for n for which the improper integral nx? 2) 1 dx (x3 +1 Зх +1, is convergent, and evaluate the integral for this value of n.
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