I need the proof for root test Theory
I need the proof for root test Theory The formal statement for the root test is...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Use the root test to determine if the following series converges or diverges. Š - 13 n=1 (8 +(1/n) 2n Since the limit resulting from the root test is , the root test is inconclusive. (Simplify your answer. Type an exact answer.) shows the series converges. is inconclusive. shows the series diverges. Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. Fin...
Use the Root Test to determine the convergence or divergence of the series. (If you need to use coor- enter INFINITY or INFINITY, respectively.) (!)" Σ lim converges diverges Inconclusive Need Help? Read it Talk to Tutor Submit Answer
Use the Root Test to determine the convergence or divergence of the series. (If you need to use co or -oo, enter INFINITY or -INFINITY, respectively.) (2017)." n = 1 lim janl = n → 00 O converges o diverges O inconclusive
10. Read through the following "e-free" proof of the uniform convergence of power series. Does it depend on limn→oo lan|1/n or lim supn→oo lan! an)1/n? Explain. 1.3 Theorem. For a given power series Σ ak-a)" define the number R, 0 < R < oo, by n-0 lim sup |an| 1/n, then (a) if |z- a < R, the series converges absolutely (b) if lz-a > R, the terms of the series become unbounded and so the (c) if o<r <...
I need these answered correctly ASAP. If the answer is incorrect I will give you a bad rate. If it is correct I will give you a thumbs up. Do not complete if you are not going to do both. Thank you. 5 2n2 – 3 Using the limit comparison test, determine whether the series converges or diverges. The series diverges. The test is inconclusive. The series converges. Question 6: 10 pts What does the alternating series test say about...
(2+3+1+1+1=8 points) Roughly, the Limit Comparison Test allows one to determine whether a given DO series an converges or diverges based on the computation of the limit an L = lim no ba 00 where on is another series. In this exercise, the Limit Comparison Test is used to determine whether the series shown below converges or diverges: yาง m4 +5n - 4 1. Write your choice of bn (Your answer should be in terms of n and simplified fully.)...
please i need final answers just just put option and write answer don t need to solve need it asap please thanks Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. rdx ſ dx Choose the correct answer below. OA. 1 By the Direct Comparison Method, converges because Os s +4 a on 3, 00) and x dx converges. x +...
Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or -o, enter INFINITY or -INFINITY, respectively.) n = 2 (In(n)) limla,l = n > converges diverges inconclusive
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...