Identify, of the following, all statements that apply to the series (-1) 6n+1 0 The series...
Kalan süre: 177:16 Soru 1 Which of the following statements are true? Select all that apply Yanitiniz: inn The series Σ 8 Inn is convergent by the root test. The series Σ n=3 ninn[In(Inn)) diverges by the Integral Test. 0.62 = 0.626262...- (0.62) no The series in(9n+ + 7) - In(4n1 + 6n +9) diverges by the Divergence Test. n=1 Since Σ 8 + cos(1/n) s2 6" the series Σ 8 + cos(1/n) is convergent by the Comparison Test. nao...
Which of the following statements are true? Select all that apply Your answer: The series Inn! - 4) - n(n+9n+ 9) diverges by the Divergence Test. The series Σ a 5 linn is convergent by the root test Since 2 9+cost1/n) « Σ 10 τne series Σ 9+ cos(17) is convergent by the Comparison Test. 08 0 0.41 0.414141. 10.411 The series 2 diverges by the integral Test ninnfinn)
Consider the series 2 Which of the following statements are true? (Select all that apply). Yanitiniz: The series absolutely converges. (-1)" lim 8+ = 0 The series converges conditionally It is an alternating series. The series converges to some finite number The series conditionally and absolutely converges. tale) diverse diverges. It is not an alternating series. The ratio test is inconclusive.
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
Please show ALL work and steps and an explanation as to why the series is convergent or divergent Use the Integral Test to determine whether the series is convergent or divergent. oo -5n ne n = 1 Evaluate the following integral. -5x dx 59 xe Since the integral ---Select--- finite, the series is ---Select--- -
1. Write down the first few terms of a sequence. How to determine if a sequence is convergent or divergent? 2. Write down the first few terms of a series. Partol sus 3. Tests to determine if a series is convergent or divergent. Divergent Test, Geometric Series Test, Telescopic Series Test, Integral Test, p-series Test, Comparison Test, Limit Comparison Test, Ratio Test, Root Test, Alternating Series Test 4. How to determine whether a series is geometric and whether it is...
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 whether the series convergent or divergent. n! n=1 Identify an Evaluate the following limit lim. Ianni! Use the Ratio Test to determine whether the series convergent or divergent. n! n=1 Identify an Evaluate the following limit lim. Ianni!
11:18 Back Open in Which of the following statements are true? Select all that apply Your answer: n=03n' Since Ž 8 + cos(1/n) < Σ n = 0 31 the series Σ 8 + cos(1/n) is n=0 3" convergent by the Comparison Test. The series Σ(Β) Inn is convergent by the root test. The series In(4n? – 4) – In(3n? +10n + 2) n = 1 diverges by the Divergence Test. The series Σ 1 n=3 nlnn[In(Inn)] 11:18 ..10 Turkcell...
Write several complete simple sentences about how each series is convergent or divergent, including which testis applied! nth-Term Test for Divergence, Geometric Series Test, p-Series Test, Integral Test, Absolute Convergence, Alternating-Series Test, Ratio Test, Root Test, Direct Comparison Test, & Limit Comparison Test. Show each step clearly. 1 3. Σ=100 n