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Comparison tests Use the Comparison Test or Limit Comparison Test to determine whether the following series converge.
33.
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Chapter 8 Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- n3 Use the limit comparison test with the p-series to determine whether S 2n5 – 4n – 1 converges or diverges. n=2 The limit comparison test cannot be applied to these two series. S converges. S diverges. The test is inconclusive.arrow_forwardFind a power series representation for the function and determine the radius of convergence.arrow_forwardA FINAL EXAM TO BE COMPLETED INDEPENDENTLY. 13. Consider the four p-series listed below. Briefly explain whether each series converges or diverges. (a) 2n-1 no3 (b) 1n-4 1 (c) En 1 (d) E -1arrow_forward
- determine if series is convergence or divergent and identify which test you usearrow_forwardTests for Convergence 1. Consider the series Inn n=1 a. Use Comparison test to show that the series converges when p > 2 and diverges when p< 1.arrow_forwardFind the interval I and radius of convergence R for the given power series. (Enter your answer for interval of convergence using interval notation.) || R = (-1)²(x - 4)k 12k k = 1 12 X Your answer cannot be understood or graded. More Informationarrow_forward
- Match the series or sequence with the appropriate test or series to determine whether the series converges, i.e which test or series would you use to determine convergence?arrow_forwardFind the interval of convergence for the given power series. (x - 4)" Σ n(- 9)" n=1 The series is convergent from x = left end included (enter Y or N): to x = right end included (enter Y or N): M C ㅈ # $ A de L % 5 6 D 8 7 8 9 #arrow_forwardTest the series for convergence or divergence. (-1)"-1 00 5. E 3 + 5n n=1 8arrow_forward
- 12 Please help me with the answer and solution thank youarrow_forwardan+1 Assume that an | converges to p = . What can you say about the convergence of the given series? %3D 00 bn n² an n=1 n=1 bn+1 lim b, (Enter 'inf' for .) E n a, is: n=1 A. convergent B. divergent C. The Ratio Test is inconclusivearrow_forwardfined a power series representation of the function f(x)= Be sure to simplify the power (x-5)² series.arrow_forward
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