Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identify which test was used.
(a) nth-Term Test
(c) p-Series Test
(e)
(g) Limit Comparison Test
(b) Geometric Series Test
(d) Telescoping Series Test
(f) Direct Comparison Test
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Chapter 9 Solutions
Calculus (MindTap Course List)
- Using Integral test - test the series for convergence or divergencearrow_forwardpower series: using the Ratio Test or the Root Test to determine the radius of convergence, and indicate the open interval of convergence.arrow_forwardUsing direct or limit comparison test determine weather this series converges or diverges.arrow_forward
- Limit Comparison Test! Given the series, states whether the test can be used and use the test to see if the series converges or diverges.arrow_forwardStudy the power series: - Using Limit Comparison Test show that this series converges when x = −2. - Justify if the series is absolutely convergent, conditionally convergent, or divergent at x = 12? - Determine the radius and interval of convergence of the power series.arrow_forwardUsing the Alternating Series Test determine whether the series diverges or converges, if possible evaluate the series.arrow_forward
- Using Limit Comparison test, determine if the given series converges or diverges.arrow_forwardShifting power series If the power series ƒ(x) = ∑ck xk has an interval of convergence of | x | < R, what is the interval of convergence of the power series for ƒ(x - a), where a ≠ 0 is a real number?arrow_forwardConvergence or divergence. Use a convergence test of your choice to determine whether the following series converge.arrow_forward
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