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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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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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