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Comparison tests Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
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Calculus: Early Transcendentals (3rd Edition)
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- We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the Comparison Test) to determine if the series: k5 16 - converges or diverges by comparing it with: k We can conclude that: The first series diverges by comparison with the second series. The Basic Comparison Test is inconclusive in this situation. O The first series converges by comparison with the second series.arrow_forwardUse the Comparison or the Limit Comparison test to show convergence ordivergence of each series.arrow_forwardIf a growth series and a linear series are specified that start at 1 and have a step value of 2, which series has a larger value when the 10th value is reached in each series? O The growth series is not provided by Excel O The growth series They are equivalent O The linear seriesarrow_forward
- Daly analysisarrow_forwardchoices: a. true b. false c. others (specify) 1. Stationary series are series with roughly horizontal with constant variance. 2.A non-stationary series the ACF drops to zero quickly. 3. The PACF of the stationary series is decaying exponentially,arrow_forwardOSelect the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series c. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. None of the above (n + 1)(8)" 1. 32n (-1)" 2. 7n + 5 n=1 00 3. (-1)"- n+3 7(7)" A 4. 2n sin (4n) 5. n? (-1)" In(e") n² cos(na) 00 6.arrow_forward
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