The following statement is an attempt to show that a given series is convergent or divergent using the Comparison Test (not the Limit Comparison Test). Determine if correct or incorrect. For all …

LIMIT COMPARISON TEST ak The Limit Comparison Test is most often used when the limit L = lim lies in the interval (0,00). In the case where L is -100 zero or infinity, we can still compare …

Use the limit comparison test to determine if the series ∑ n = 1 ∞an = ∑ n = 1 ∞ 3 n 1 + 1 n converges or diverges. Compare to the harmonic series, ∑ n = 1 ∞bn = ∑ n = 1 ∞ 1 n, which …

How do you test for convergence and divergence? Some tests will determine if a series is convergent or divergent- these tests include the limit comparison test and the comparison test.

 Use the Comparison Test or Limit Comparison Test to determine whether each of the following series converge or diverge.

Jan 1, 2026 · Question: Limit Comparison Test Goal: To examine the Limit Comparison Test and its proper use. A fundamental idea in the study of series is that of comparison. We look at …

Question: Test the series for convergence or divergence using the Alternating Series Test. ∑n=1∞3n+1 (−1)n Identify bn Evaluate the following limit. limn→∞bn Since limn→∞bn0 and …

The limit comparison test can be used to show that the first series converges by comparing it to the second series. co n 1 - 5 n=2 n=2 The following is a proposed proof for the statement. n 1. …

Calculus questions and answers 24. [-/1 Points] DETAILS Determine whether the series converges or diverges. e8/n n n = 1 The series converges by the Limit Comparison Test with a …

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. dx x4 +9 …