Choose your test Use the test of your choice to determine whether the following series converge.
52.
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Calculus: Early Transcendentals, Books A La Carte Edition (3rd Edition)
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- A ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series representing the total distance traveled by the ball, assuming it was initially dropped from a height of 5 feet. What is the total distance? (Hint: the total distance the ball travels on each bounce is the sum of the heights of the rise and the fall.)arrow_forwardFor the following exercises, use the geometric series k=1(12)k 28. Graph the first 7 partial sums of the series.arrow_forwardDetermine whether the sum of the infinite series is defined. 13+12+34+98+...arrow_forward
- Binomial seriesa. Find the first four nonzero terms of the binomial series centered at 0 for the given function.b. Use the first four terms of the series to approximate the given quantity.arrow_forward05* Let p, q> 0. Find the relation of p and q so that the following series is convergent. p>1 and p=1,q>1 p1 p1 and p=1, q<1 8 n=1 1 n²(Inn)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