Answered: 8. E(-1) is absolutely The series n=1… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 22RE

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Related questions

Question

(9)
8.
The series E(-1)" is absolutely
n=1
convergent.
Select one:
O True
O False
The series (-:)" is conditionally
00
convergent.
Select one:
True
O False
The series
(-3)"
is
n =1 n5" +1
O Absolutley convergent
O Conditionaly convergent
Divergent
None of the others

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Express as the sum of a power series: (5z + 6)(6 + 6) 11 (-1)"2"()"- (3)") 00 2-0 00 11 1/7 Question 2 17
Determine if the following series converges or diverges.
Find all x for which the power series converges. (k!)? (x - 6)* (2k)! k=0 (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use symbol oo for infinity, U for combining intervals, and appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)
Select the FIRST correct reason why the given series converges . A. Convergent geometric seriesB. Convergent p seriesC. Comparison with a geometric or p seriesD. Alternating Series TestE. Cannot apply any test done so far in class
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/ S (1) n 47 3/ Determine whether thhe series is absolutely cenvecgint, conditionally convergent,or divergedt. A series is divergent b) Dseries i3 Conditiomally convergent DSeries is absolutely converglst.
ncSqgHuCpmyhO2nvmCPguu9empi-50FsWnfm42xQ/formResponse Question* By shifting the summation index of the following added series +00 п(п - 1)С, х" - 4 п(п — 1)С, х"-2+3 nC,x" + C,x" = 0 n=2 we get: E[(k – 2)(k – 3)C 2C, - Co + 6C,x +£t(k + 1)(k – 1)G, +(k + 2)(k + 1)C+z]x* = 0 +(k + 2)(k + 1)Cr+2]x* = 0 O This option This option (C, - 8C;) + (4C, - 24C,)x 2C, + Co + E(1 – 2k)Cx +EI(k + 1)°C – 4(k + 2)(k+1)Gr+z]r* = 0 +(k + 2)(k + 1)Ck+2]xk = 0 O This option This option
B1
Expand the function in a power series anx" with center c = 0. Find anx". 6+7x anxh ∞ (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) = n=0 XE || Determine the interval of convergence. (Give your answers as intervals in the form (*, *). Use symbol ∞ for infinity, U for combining intervals, and appropriate type of parenthesis" (", ") ", " [" or "]" depending on whether the interval is open or closed. Enter DNE if interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
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