Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identity which test was used.
(a) nth-Term Test
(b) Geometric Series Test
(c) p-Series Test
(d) Telescoping Series Test
(e) Integral Test
(f) Direct Comparison Test
(g) Limit Comparison Test
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Chapter 9 Solutions
Calculus: Early Transcendental Functions (MindTap Course List)
- using limit comparison test determine the convergence or divergence of the seriesarrow_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_forwardUsing the Alternating Series Test determine whether the series diverges or converges, if possible evaluate the series.arrow_forwardUsing ratio test determine whether the series converges absolutely or divergesarrow_forward
- Shifting 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_forwardReal Analysis II Prove whether the series converges or diverges. Please follow similar example in other photo!arrow_forwardevaluation of its sum using two consecutive partial sums (if the alternating series is convergent (conditionally orabsolutely), then compute, otherwise just present and explain the formula for evaluating).arrow_forward
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