Part 1: Part 2: Using the alternating series test, test the convergence of D1 () Show...
need help calculus II Spring 2019 ) (A) Show that Σ (-1)+7-2 converges using the Alternating Series Test. Be sure to say what the AST requires for convergence. Hint: The derivative of ()7 is Math 2502 Test 4 r(z)=菰11-r.7ア, which 一疋 2, 00 2V-27)' which has domain (2,oo). Spring 2019 ) (A) Show that Σ (-1)+7-2 converges using the Alternating Series Test. Be sure to say what the AST requires for convergence. Hint: The derivative of ()7 is Math 2502...
The Alternating Series Test and convergence. 8 = angle Pod sino g 3! as 3! a 7 " Functions can often be represented by an infinite series. A series reprezentation can help to solve differential equations, to fin derivatives, or to compute integrals involving the function. Computers also use these series representations to perform calculations. For example sin (0) 0 +... allows a calculator to give a decimal approximation of values of sine. Click here to access the Exo ore...
The serie (-1)*+1 2. converges by Alternating Series Test. What is the smallest number of terms required to approximate the sum of the series with e < 10-4? none of the above 2n +1 Consider the series - n3 + 3n n=0 Which of the following statements are true? Check all that apply. 21 TL non The series is comparable to a geometric series. Root Test will work to establish convergence/divergence of the series. The series converges.
a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 00 3 8n NO For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) 2 + 7 con Σ Test: (-1) in...
Question 3: Series and Convergence (3 points each) a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 2n N=0 For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) Σ (2n)!...
(1 point) The series is an alternating series but we can apply the ratio test to to test for absolute convergence. Applying the ratio test for absolute convergence you would compute lim (k+1 = li k00 ak k- 00 Hence the series converges Note that you will have to simplify your answer for the limit or you will get an error message.
Use the Alternating Series Test, if applicable to determine the convergence or divergence of the series. (-1)"\n(n) n n2 Identify a Evaluate the following limit. lima Since lima 7.0 and an + 1 2 an for all n-Select-
ints) Find an alternating series which satisfies part 1 but not part 2 of the AST (5 po and diverges. All 3 of these conditions must be justified. (5 points) Find an alternating series which satisfies part 1 but not part 2 of the AST and converges. All 3 of these conditions must be justified. yén an atemctia Semes Go m-l n-1 4. lim bn O 4o hn n-i ints) Find an alternating series which satisfies part 1 but not...
Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series. 00 (-1)"n Σ n²-8 n=3 Identify an Evaluate the following limit. lima n- Since lim 0 and an - 12va, for all n. ---Select- Submit Answer
se a convergence test of your choice to determine whether the following series converges or diverges. 002 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. O B. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. OC. The Ratio...