Determine which of the following tests could be used for Convergence or divergence of 2 Do...
List of Series and Tests • Geometric series, • Telescoping series, • Divergence test. • Integral test, • P-series test, • Comparison test, • Limit comparison test, Alternating series test, Absolute convergence theorem (absolute and conditional convergence), Ratio test, and • Root test. 1. Determine the convergence of the following series. State the test(s) you used to determine convergence. C. Σε 4-2k+1
Given § (-1)" (n=1)". Which test would you use to determine the convergence or 10 divergence of this series? Integral Test Ratio Test Root Test Comparison Test
Infinite Series Determine the convergence or divergence of the following series by applying one of given test. Half credit will be given to those the correctly apply another test instead. n(3)"e" (Limit Comparison Test or Root Test) Identify which two series are the same and then use the Ratio Test and/or Alternat Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2-1 ns2 B. À (-1)"+1 nen c. § (-1)+1 (n + 1)2
Infinite Series Determine the convergence or divergence of the following series by applying one of given test. Half credit will be given to those the correctly apply another test instead. n(3)"e" (Limit Comparison Test or Root Test) Identify which two series are the same and then use the Ratio Test and/or Alternat Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2-1 ns2 B. À (-1)"+1 nen c. § (-1)+1 (n + 1)2
Infinite Series (a) Determine the convergence or divergence of the following series by applying one of the given test. Half credit will be given to those the correctly apply another test instead. (3)" =" (Limit Comparison Test or Root Test) n=1 (b) Identify which two series are the same and then use the Ratio Test and/or Alternating Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2n-1 B. (-1)"+1 n2 1
(1 point) In order to determine the convergence or divergence of the series (-6)" (n2 + 6n) 51+1 n=1 we calculate the limit I needed to run the Ratio Test. Which of the following values would we get? -6 A. L 30 6 B. L= olo olio C. L D. L= 0 E. L=0. F. the limit L does not exist. (1 point) Given that a function f(x) has a tangent line at x = 2 given by y =...
3. (20 points) Infinite Series (a) (10 points) Determine the convergence or divergence of the following series by applying one of the given test. Half credit will be given to those the correctly apply another test instead. (3)"e" (Limit Comparison Test or Root Test) (b) (10 points) Identify which two series are the same and then use the Ratio Test and/or Alternating Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2n-1 na2 B. (-1)"+1 n2...
Use the Ratio Test to determine the convergence or divergence of the series. If the ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use of c onter INFINITY - FINITY respectively) (n-1) verges dvoje Need Help? - 2 PUNIS LARCALLII 9.6.019.MI. MY NOTES ASK YOUR TEACHER Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Tests inconclusive, determine the convergence or divergence...
Problem 2. (1 point) Assume we are trying to determine the convergence or divergence of the series Σ 312 + 4n? n? - 512 Which of the following statements accurately describes the series? A. The series converges by the Limit Comparison Test with the series 3 B. The series converges by the Limit Comparison Test with the series C. The series converges conditionally. D. The series diverges by the Divergence Test. E. It is impossible to tell if the series...
Problem 6. (1 point) In order to determine the convergence or divergence of the series (-3)" (n+ 3n) 2+1 we calculate the limit L needed to run the Ratio Test. Which of the following values would we get? A. L 3 4 B. L=0 O c. L=0 O 3 D. L = 6 E. L ته اتہ F. the limit L does not exist.