




diverent or convergent You must justify your conclusions by identifying the test used. (a) [3044 41...
Problem 10 [10 pts] Determine whether cach of the following series is convergent or divergent, You must justify your conclusions by identifying the test used. (a) (b) + 13 - 12X-7 13 1 (lan
7) Use the Ordinary Comparison Test to determine whether the series is convergent or divergent. Υ n (a) (6) Σ η η 5" 3η – 4 M8 M8 (Inn) 2 (c) η (d) tan n2 n3 η-2 1 (e) Σ (6) Σ 2n + 3 2n + 3 ή-1 1-1
2-15 Determine whether the series is convergent or divergent. 1 2. Σ 1.0001 3. Σ 1-0.00 n=5 η n=1 σο 2 3 4. Σ 5. Σ (1) ده است + ηψη 3 n=1 1 1 6. Σ 7. Σ η=5 (η – 4)? 2n + 3 n=1
Determine whether the series is absolutely convergent,
conditionally convergent or divergent.
2"m! (b) Σ(-1)". 5 • 8 • 11 •• (3η + 2) (c) Στ (1 + Ae η =1 1 (- 2)" (-1)" (e) Σ (- 1)"e" (f) Σ (g) Σ (n + 1)! η 1 η 2 mln (2017)
All i need is 3, 6, 7, 8
Use the ratio or root test to determine if the following series are convergent or divergent. If the ratio or the root test fails, indicate why. X 1 2n 1. Σ 5. Σ (2η)! n=1 n=1 n X 2n 2. Σ(3) 6. Σ (η)! n=1 n=2 n2 3. Σ 5 (η2 +1) 7. Σ 4η n=1 n=2 4. Σ (2n)! 8. Σ1 η! νη n=2
Find the sum of each convergent series. Use scratch paper and put your answer in the corresponding blank to the left of each problem. Evaluate and simplify all answers. 4 (a) και m=3 η 4 (b) k=1 (c) 1 1 + 1 4. 24 +... 1. 2 2. 22 3. 2 12 n=0 1 (d) Σ (-5)" (e) Σ (n-3) (f) Σ (2n+1)! n=4 (-1)" π2n+1 2n+1 η=0 (9) 744 * 10 (h) ΣΑ) (3) 1 - In 2 +...
Determine if the following series are absolutely convergent, conditionally convergent, ora divergent. Indicate which test you used and what you concluded from that test. (-1)" ln(n) 13. 9. (-1)" (n + 1) n3 + 2n + 1 п I n=1 n=1
Match the following infrared spectrum with the correct structure.
Justify justify your answer by identifying the absorption bands. If
there are two alternatives with the same functional group, you must
justify why one option was selected instead of the other.
7 О-о- снег" ОУ-ын сан, CH, D. (4=cn=a.3-2_ CH,CH
(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 (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 l.) 1. For all n > 2, -16く흘, and...
2. Consider the following series: (-1)n n In n (a) Is the series convergent? Justify your answer (b) Is the series absolutely convergent? Justify your answer.