Use the Direct Comparison Test to determine the convergence or divergence of the series co 872 Σ x=0 9" +7 a. b. 87 n=09" +7 Co 8" gr The series Σ The series Σ "=0 -converges. +7 diverges.
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- Entered DIV 0.25 At least one of the answers above is NOT correct. (a) The series Σ(An). Div n=1 Answer Preview (b) The sequence {An}. DIV Given: 3n An = 12n + 13 For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, -INF if it diverges to minus infinity, or DIV otherwise. 1 4Determine whether the alternating series E (-1)^+1° converges or diverges. n = 1 n3The series E-,(-1)"cos-i is Select one: a. Convergent by Alternating Series Test. b. Non of them. c. Absolutely Convergent. d. Divergent by nth-Term Test. e. Divergent by Alternating Series Test.
- find convergence or divergence of the seriesExpress dx as a power series. What is the radius of convergence of this series? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIU S Paragraph Arial 10ptFind the smallest value of x for which the series (x+ 46)" 2ln(n) n=2 is conditionally convergent. Answer: Next page
- Find the power series for f(x) = 8x³ (1-x4)² 2 Hint: First, find the power series for g(x) = 1x41 (Express numbers in exact form. Use symbolic notation and fractions where needed.) 8 in the form S an. n=1 an = Then differentiate."Find the divergance or convergance of each non highlighted seriesnº +2 Use a comparison test to determine if the series 4. converges or diverges. n=1
- npt=19963228&cmid%3892678&page%3D2 Spring21 Question 5 2k-1 Determine if the series converges or diverges. If convergent, find the sum of the series Not yet answered Select one: Marked out of O a. Converges to 1.6 P Flag question O b. Diverges O c. Converges to - O d. None of these Question 6 (x+ 즐)" The third non-zero term in the Taylor series of f(ar) = sin z centered at Not yet is 2 4! answered Marked out of Select one: 1.6 O a. True P Flag question Ob. None of these False EGO 121Evaluate farctan (x²) dx as an infinite series9. Consider the series. You will apply a comparison test to determine the sin n=1 series' behavior. Do the following. (a) Determine a contrived series (that is. a series to wvhich to compare the given series). Write your contrived series in the space below. (b) State the behavior of the contrived series (convergos or divergTCS and briefly explain why the contrived series behaves as it does in the spacOMDC ann 2. Type hern