2019W2_MATH103_ALL.D6FEYB2NC501.Assignment_11.pdf - Stella...

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Stella Lin 2019W2 MATH103 ALL Assignment Assignment 11 due 04/02/2020 at 01:00am PDT 1. (1 point) The following series are geometric series or a sum of two geometric series. Determine whether each series converges or not. For the series which converge, enter the sum of the series. For the series which diverges enter ”DIV” (without quotes). (1 point) The divergence test applied to the series n = 1 8 n 7 n + 1 tells us that the series ? (b) n = 0 the series diverges. 4. (1 point) Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent, enter div . (d) 10 n = , n = 1 3 n (correct) multiple 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 Compar- ison 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. 2. (1 point) Determine the sum of the following series. n = 1 3 n + 5 n 9 n n = 1 9 n 2 + 3 n 5 2 n 6 + 13 n 3 - 2 2. n = 1 2 n 2 + n 6 1309 n 8 + 13 n 2 + 9 3. (1 point) The divergence test applied to the series n = 1 8 n 7 n + 1 tells us that the series ? the series diverges. 4. (1 point) Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent, enter div . Use the Comparison Test to compare the following series to any multiple 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 Compar- ison 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. 1. n = 1 9 n 2 + 3 n 5 2 n 6 + 13 n 3 - 2 2. n = 1 2 n 2 + n 6 1309 n 8 + 13 n 2 + 9
(correct)
6. (1 point) Test each of the following series for convergence the Comparison Test, enter CONV if it converges or DIV if it diverges.
CONV CONV CONV (correct) 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 enter I (for ”incorrect”) if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.)

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