For what values of x does the series converge absolutely? S (-1)" (2 +9) -1 -10...
For the series <1-1n in n +1 n=1 1. Does it converge? 2. Does it absolutely converge? Please present your work in 1 pdf file with 2 pages (ONE subproblem per page)
Σ (-1)n(7x+6 ,- Consider the series (a) Find the series' radius and interval of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Find the interval of convergence Find the radius of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? Select the correct choice below and, if necessary, fill in...
Exercise 3. Suppose that |2 < 2. Prove that the series converges absolutely.
Does the series converge absolutely or conditionally, or diverge? Please show appropriate tests. > (-1)^+1 en + 3 N=1
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Find the fourier series و = (x) 1, 18, - 7<<0 0 << ;}
12. For what values of r does the series (2n)!r" 22n(n!) converge absolutely? converge conditionally? diverge? n=1
Part 2 - Absolutely Alternating Considering the following alternating series x-2+3-45-6+ x-0 and y-0 For what values of x and y does this series converge conditionally and for what values does it converge absolutely? Justify your answer. Part 2 - Absolutely Alternating Considering the following alternating series x-2+3-45-6+ x-0 and y-0 For what values of x and y does this series converge conditionally and for what values does it converge absolutely? Justify your answer.
please show all steps 00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
f(x)=\x(-2<x<2), p = 4 for the given periodic function, what the Fourier series of f? a. an= 8 -cos(nm) 22 n' bn=0 Ob. 4 an = -COS(nn) n?? 4 bn= n2012 C. an 4 cos(nn) n272 bn=0 O d. an 4 22 [(-1)" – 1] bn=0 e. an= 4. -sin(n) n' 2 bn=0