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For number 7, can you show why C= 3-ln4 when x=3. And can you show why the series diverges when x=5?

For number 7, can you show why C= 3-ln4 when x=3. And can you show why the series diverges when x=5?

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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For number 7, can you show why C= 3-ln4 when x=3. And can you show why the series diverges when x=5?

integrate the series in question 4 term by term, what new series do you get? For what values of x does the new series converge? Find C when x =3. If f(x) = 1 (x- 3)+(x 3 + +(- })"cx-3)" .. = 3)" +.. 금 then f(x) dx (x-3) Atx=1 the series diverges: at x= 5 the series converges. Theretore the interval of convergence is 1 2 In x 1 + (3 In 4). since 2 In x 1 C, where C 3 In 4 when x = 3. Find the Taylor polynomials of orders 0,1, 2, and 3 for f (x)=Vx+4 generated by f at x 0. 8:05 AM 昂 32°F Sunny 12/13/2021 hp 8.
Transcribed Image Text:integrate the series in question 4 term by term, what new series do you get? For what values of x does the new series converge? Find C when x =3. If f(x) = 1 (x- 3)+(x 3 + +(- })"cx-3)" .. = 3)" +.. 금 then f(x) dx (x-3) Atx=1 the series diverges: at x= 5 the series converges. Theretore the interval of convergence is 1 2 In x 1 + (3 In 4). since 2 In x 1 C, where C 3 In 4 when x = 3. Find the Taylor polynomials of orders 0,1, 2, and 3 for f (x)=Vx+4 generated by f at x 0. 8:05 AM 昂 32°F Sunny 12/13/2021 hp 8.
For what values of x does the series converge? What is its sum? What series do you get if you differentiate the series term by term? For what values of x does the new series converge? What is its sum? 6. Questions (x-3)+-(x-3)*. (x-3)" +-. 2 .. If you integrate the series in question 4 term by term, what new series do you get? For what values of x does the new series converge? Find C when x =3. 7. T
Transcribed Image Text:For what values of x does the series converge? What is its sum? What series do you get if you differentiate the series term by term? For what values of x does the new series converge? What is its sum? 6. Questions (x-3)+-(x-3)*. (x-3)" +-. 2 .. If you integrate the series in question 4 term by term, what new series do you get? For what values of x does the new series converge? Find C when x =3. 7. T
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