4. [-/10 Points] DETAILS SCALCET8 11.8.AE.002. MY NOTES EXAMPLE 2 For what values of x does...
27. [-/1 Points] DETAILS SCALCET8 11.4.019. Determine whether the series converges or diverges. MY NOTES AS 00 + 1 n + n=1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its...
2. [-/2 Points] DETAILS SCALCET8 11.4.002. MY NOTES ASK YOUR TEACHER Suppose <a, and on are series with positive terms and Co is known to be divergent. (a) If an > b, for all n, what can you say about <a,? Why? Ο We cannot say anything about Σας: La converges if and only if n.a, 2 bn. La converges by the Comparison Test. La, diverges by the Comparison Test. a converges if and only if 2a, z on (b)...
SCALCET8 11.6.029. DETAILS PREVIOUS ANSWERS 4. [3/4 Points) Use the Root Test to determine whether the series is convergent or divergent. 4 Identify an aft Evaluate the following limit. lim Vlani I Х Since lim Van 1, the series is divergent Need Help? Read it Watch it Talk to a Tutor Submit Answer 5. [1/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.6.031. Use any test to determine whether the series is absolutely convergent, conditionally co Σ(1) In(n) Σ - 2 absolute...
26. [-/1 Points] DETAILS SCALCET8 11.4.015. Determine whether the series converges or diverges. 00 62+1 n = 1 50 - 7 The series converges by the Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Comparison Test. Each term is less than that of a convergent p-series. The series diverges by the Comparison tyst. Each term is greater than that of a divergent p-series. The series diverges by the Comparison Test....
- (-12 Points] DETAILS ROGACALCET4 10.5.012. MY NOTES ASK YOUR TEACHER PRACTIC Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. 30 n n! nul p=lim n- an According to the Ratio Test, the series converges. According to the Ratio Test, the series diverges. O The test is inconclusive. 4. (-12 points) DETAILS ROGACALCET4 10.5.030 MY NOTES ASK YOUR TEACHER PRACTICE ANG Assume that oft converges to p = 1 and bn...
8. [-/1 Points] DETAILS SCALCET8 4.3.AE.002.NVA MY NOTES ASK YOUR TEAC EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 - 1683 - 192X2 + 5 Video Example SOLUTION f'(x) = 12x3 - 48x2 – 384x = 12x(x - 8)(x + 4) From the chart Interval 12x X-8 X + 4 f'(x) f x < -4 decreasing on (-0,-4) -4 < x < 0 + increasing on (-4,0) 0<x< 8 decreasing on (0,8)...
33. [-/2 Points] DETAILS SCALCET8 11.8.517.XP. Find the radius of convergence, R, of the series. DO (4x + 5)" n? n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =
1. [0/2 Points] DETAILS PREVIOUS ANSWERS ROGACALCET4 10.5.004. MY NOTES ASK YOUR TEACHER Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. 6n + 2 3n? + 1 по an+1 P= lim n an O According to the Ratio Test, the series converges. According to the Ratio Test, the series diverges. O The test is inconclusive. Viewing Saved Work Revert to Last Response Submit Answer MY NOTES ASK YOUR TEACHER 2. (-12...
10. [1/9 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.2.041. Determine whether the series is convergent or divergent. 00 8 + n(n + 1) n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 8.6558 X
6. [1/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.10.013. MY NOTES ASK YOUR TE Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R,(x) > 0.] f(x) = sin(x) f(x) = 3 ( xan (-1)" (2n)! n = 0 x Find the associated radius of convergence R. R = ♡ Need Help? Read It Talk to a Tutor