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(Solved) Hello, I have added the final part . i will be online for them.


Hello,?


I have added the final part . i will be online for them.


Determine whether

 

Absolutely convergent

 


 

is absolutely convergent, conditionally convergent or divergent.

 


 

Conditionally convergent

 

Divergent

 


 

Question

 

2 of 10

 


 

Determine whether

 

is absolutely convergent, conditionally convergent or divergent.

 

Absolutely convergent

 

Conditionally convergent

 

Divergent

 


 

Question

 

3 of 10

 


 

Determine the radius and interval of convergence of

 

[?6,6], r = 3

 

[?4,?2], r =1

 

(?4,?2) , r =1

 

(?3,3) , r = 6

 


 

Question

 

4 of 10

 


 

Determine the radius and interval of convergence of

 

(?6,6), r = 4

 

(?2,10), r = 6

 

(6,4), r = 2

 


 

Question

 

5 of 10

 


 

Find a power series representation of

 

convergence for the power series.

 


 

about c = 0. Determine the interval of

 


 

6 of 10

 


 

Find the MacLaurin series (i.e., the Taylor series about c = 0) and its interval of convergence.

 

f (x) = 6cos 4x

 


 

Question

 

7 of 10

 


 

Find the Taylor series about c = 4 and its interval of convergence.

 

f (x) = e6x

 


 

Question

 

8 of 10

 


 

Use a known Taylor series to find the Taylor series about c = 0 for f (x) = x7 sin x4and find its radius of

 

convergence.

 


 

Question

 

9 of 10

 


 

Use a known Taylor series to conjecture the value of

 


 

Question

 

10 of 10

 


 

Use a known Taylor polynomial at

 

0

 

0.0595

 

0.4167

 

2.9169

 


 

with 4 non-zero terms to estimate the value of

 


 

 


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DATE ANSWERED

Oct 15, 2019

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