1. 2. (1 point) Consider the following convergent series: Suppose that you want to approximate the...
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...
(1 point) Use the Integral Test to determine whether the infinite series is convergent. 6ne Fill in the corresponding integrand and the value of the improper integral. Enter inf for oo, -inf for-oo, and DNE if the limit does not exist. Compare with By the Integral Test, the infinite series Σ 6ne" n=6 A. converges - 'B, diverges (1 point) Use the Integral Test to determine whether the infinite series is convergent. 6ne Fill in the corresponding integrand and the...
(1 point) Consider the series an where n=1 an= vn + 6(n+7) en +7 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L= lim an+1 an n> Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L= Which of the following statements is true?...
(1 point) Consider the series an where n1 an (-1)"n? n2 + 4n + 3 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L= lim an+1 an 1200 Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity L= DIV Which of the following statements...
IM (1 point) Consider the series an where Vn+5(n+8) a,= e-4 In this problem you must attempt to use the Ratio Test to decide whether the series converges Compute L- lim Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF it it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. Which of the following statements is true? A The Ratio Test says that...
(1 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately describes the series? A. The series converges by the Integral Test. B. The series diverges by the Divergence Test. C. The series converges by the Alternating Series Test. 8W 5 D. The series converges by the Limit Comparison Test with the series 6 6n3 n=1 O E. The series diverges by the Integral Test.
(1 point) Consider the series 5+(-1)"n3 6n3 – In n=1 Which of the following statements accurately describes the series? A. The series converges by the Integral Test. B. The series diverges by the Divergence Test. C. The series converges by the Alternating Series Test. 8W 5 D. The series converges by the Limit Comparison Test with the series 6 6n3 n=1 O E. The series diverges by the Integral Test.
(1 point) Consider the senes a, where -1 (-5n+3) a (-n-8) In this problem you must attempt to use the Root Test to decide whether the series converges Compute L-lim Vla Enter the numerncal value of the imit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative ininity, or DIV if it diverges but not to infinity or negative infinity L- Which of the folowing statements is true? A The Root Test says...
(1 point) Consider the series jo 4+(-1)"n? 7n3 - 5 n1 Which of the following statements accurately describes the series? O A. The series converges by the Alternating Series Test. B. The series diverges by the Integral Test. O 4 C. The series converges by the Limit Comparison Test with the series ni 7n3 O D. The series converges by the Integral Test. O E. The series diverges by the Divergence Test.
HW10: Problem 8 Prev Up Next (1 pt) Consider the series Em_1 and where n+4 an = (-9)" (6n2+4)7" In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute an+1 L= lim 1-00 an Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity LE Which of...