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Choose your test Use the test of your choice to determine whether the following series converge.
54.
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Chapter 8 Solutions
Calculus: Early Transcendentals (2nd Edition)
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- k(2+2i)k 3k answer and specify which convergence or divergence tests you used. (14) 4. Decide if the series E, converges or diverges. Explain your (15) 5. Find all values of i'.arrow_forwarddo not copy pleasearrow_forward↑ Use an appropriate test to determine whether the following series converges. IM8 Σ 1 k=2 (k-1)4 Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) 00 A. The series diverges by the Integral Test. The value of S 1 Oc. The series diverges. It is a p-series with p = D. The series converges. It is a p-series with p = 2 (x-1) OB. The series diverges by the Divergence Test. The value of lim 1 k→∞ (k-1) dx is OE. The series converges by the Divergence Test. The value of lim 4 1 k→∞ (k-1) is 4 is COD layer/player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# This question: 1 pointearrow_forward
- We want to use the Alternating Series Test to determine if the series: Σ (-1)+2 k=4 converges or diverges. We can conclude that: k² √5 + 19 O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. O The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. O The series converges by the Alternating Series Test.arrow_forwardSolve both parts a and b and take a thumb up plz.arrow_forwardPick the most appropriate answers that make the statement true. 00 11 The series > (In(n+1))" n=1 converges O diverges and the following test(s) are appropriate for proving this: Ratio Test Root Test The value ofr you obtain by using that test is: 1 2 e 00 1/2arrow_forward
- Find the interval I and radius of convergence R for the given power series. (Enter your answer for interval of convergence using interval notation.) -(x - 7k k = 1 I = R = Need Help? Read It Watch Itarrow_forwarddetermine if series is convergence or divergent and identify which test you usearrow_forwardFind the radius of convergence and interval of convergence of the series. 2"x" Σ. 1. n=1 Page 1 of 2 66 words E English (United States) + 100% 3:52 PM O Type here to search G ENG 19 4/23/2020 137arrow_forward
- 05* Let p, q> 0. Find the relation of p and q so that the following series is convergent. p>1 and p=1,q>1 p1 p1 and p=1, q<1 8 n=1 1 n²(Inn)arrow_forwardQuestion Estimate the error, R3, when using S3 to approximate the series below. 5 3e3n eôn +1 n=1 If necessary, round your answer to four decimal places. Sorry, that's incorrect. Try again? R.arrow_forwardFind the value of x for which the given geometric series converges.Also, find the sum of the series.arrow_forward
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