Answer Happy

Series - Comparison Tests: Problem 3 (1 point) Results for this submission Entered Answer Preview BB BB AC AC AC AC At least one of the answers above is NOT correct. The three series ΣΑΙ, ΣΒ,, and ΣC have terms 1 1 A. B. CA 76 n? n

The three series An Bn, and Cn have terms 1 1 An B. . = n6 Cn- n2' n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or D if it diverges. So for instance, if you believe the series converges and can be compared with series C above, you would enter CC; or if you believe it diverges and can be compared with series A, you would enter AD. BB 1. AC 2. 8WI WIWI 3n2 + 2n 2n + 7n3 - 2 2n2 + nº 935n8 + 7n2 +3 2n + n2 - 2n 7n12 3n8 + 5 AC 3.

Series - Comparison Tests: Problem 7 - (1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test) For each statement, enter C (for "correct") if the argument is valid, or enteri (for "incorrect") if any part of the argument in flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) Ins) 1. For all > 1. and the serien 2. diverges, so by the Comparison Test, the series in diverges. 2. For all > 1. and the series convergen, so by the Comparison Test, the seria converges 3. For all n > 1, we <ate, and the series of converges, so by the Comparison Test, the series and converges 4. For all n > 2. In and the series converges, so by the Comparison Test, the series Sap converges 5. For all > 1. and the series converges, so by the Comparison Test, the series are 6. For all> 2. < and the series converges, so by the Comparison Test, the series converges wan) Ale converges

Series - Comparison Tests: Problem 6 - (1 point) Une the limit comparison test to determine whether 114 IM on +5 4n' + 2n2 + 2 converges or diverges. (a) Choose a series b, with terms of the form by IM 1 and apply the limit comparison test. Write your answer as a fully reduced fraction. Forn 24 TIP lim - b lim (b) Evaluate the limit in the previous part. Enteroc as infinity and-o as infinity If the limit does not exist, enter DNE lim -100 Ons (c) By the limit comparison test, does the series converge, diverge, or is the best inconclusive? Choose