Q2 Integral Test 3 Points Question 2: a) Use the Integral Test to determine the convergence...
9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of the series. 2 3n + 6 n = 1 Part 1 of 5 Recall the Integral Test. Iff is positive positive, continuous, and decreasing decreasing for x 2 1 and an = f(n), then an and f(x) dx either both converge or both diverge. n=1 Part 2 of 5 Let f(x) 2 3x + 6 Note that f(x) is positive, continuous, and decreasing for...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Use the integral Test to determine the convergence or divergence of the following series, or state that the conditions of the test are not satisfied and therefore 2 ke- Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. Since the integral dx converges to the series also converges. (Type an exact answer.) OB. Since the integral xe ** dx diverges, the series also diverges O c. The Integral Test does...
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 1 5e 2k k=3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. dx The series converges. The value of the integralſ is 5 e 2x 3 (Type an exact answer.) OB. dx The series diverges. The value of the integral is 5 e 2x (Type an exact answer.)...
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. kes (Ink)? JUICE TO CONTOURILE DOWang, M ary, answer DUA TU BO O R . OA The series converges. The value of the integral valvo otro horas antes de la 2x12-dxis (Type an exact answer.) OB The series diverges. The value of the integral dx is in x 5 (Type an exact answer.) OC. The Integral Test does...
2. Use the integral test to determine the convergence or divergence of the series: Σ -- ne ne1
please show all steps Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 2 Σ k(Ink)? k= 3 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. 2. The series converges. The value of the integralſ dx is x(In x)2 (Type an exact answer.) B. 2 The series diverges. The value of the integralſ -dx is x(...
Question 3: Series and Convergence (3 points each) a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 2n N=0 For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) Σ (2n)!...
orales/Downloads/266 HW13.pdf (1) Use the integral test to find upper and lower bounds for the series 2in (2) Use the comparison test and the p-test to discuss the convergence of the sere (3) Discnss the convergence of the series Σ'n t 31m son 3 your reasoning carefully (4) Discus the coavergence of the ser (5) Discuss the convergence of the series Σ 2n)12 3-5 7-2nDn). in. In 54 3 9s884 (6) Disus the convergeace of the series (7) Discus the...
Problem 3: 115 pts Short Answer, Part 1 Directions Answer the questions below. No justification is necessary A. 14 pts Suppose that converges, and define and Complete the table below which shows terms in the sequences fosseland (room. You do not need to provide justification 2 3 8 1 2 -1 B. 16 pts Suppose that ) (-2) and it is known that (0) converges and diverges. Complete each statement below. No justification is necessary! . (1.5 ptal The series...