Hi, I'm looking to check my answer and method for solving this problem. Thanks in advance.
Hi, I'm looking to check my answer and method for solving this problem. Thanks in advance....
4. [-/10 Points] DETAILS SCALCET8 11.8.AE.002. MY NOTES EXAMPLE 2 For what values of x does the series § (x – 3)" converge? n = 1 SOLUTION Let a, = (x - 3)"/n. Then an + 1 n (x - 3)" 1x - 3 → as n 00. and divergent when x - 3 > Now By the Ratio test, the given series is absolutely convergent, and therefore convergent, when |x - 3|< |x - 3| <1 | <x -...
(-1)-1 n2 is absolutely convergent. 1. (2 points) Prove that cos n is convergent or divergent. 2. (2 points) Determine whether the series - (Use cos n<1 for all n) 3. (3 points) Test the series -1) 3 for absolute convergence. (Use the Ratio Test) 2n +3) 4. (3 points) Determine whether the series converges or diverges. 3n +2 n-1 (Use the Root Test) 5. (3 points) Find R and I of the series (z-3) 1 Find a power series...
I need help with Problem 6. Thanks! 2. Calculate: 5221ddx 3. Find the area bounded by the graphs of y = Cot(2x), y = 0,x = 5, and x = 37. Provide the exact and simplified answer. 4. Evaluate: Sov-*+2,2 dx 5. Determine whether the series 2n=25047" is convergent or divergent. If convergent, find the exact sum. 6. Determine whether the series 2n=22941 is convergent or divergent. If convergent, find the exact sum. 7. Find the interval of convergence of...
1 10 onvelge a636lutely, converges conditionally, or diverges. Justify your answer, including naming the convergence test you use. (1n(b) n7/3-4 (2k)! n-2 k-0 (-1)k 2k 4. (a) (10) Let* Find a power series for h(), and find the radius of convergence Ri for h'(x). Find the smallest reasonable positive integer n so that - (b) (10) Let A- differs from A by less than 0.01. Give reasons. 5. (a) (10) Let g(x) sin z. Write down the Taylor series for...
Task 1 (7 points). The probability of successful solving a Math test by the first student is 0.9, by the second student is 0.6, by the third student is 0.8. What is the probability of solving this test by: a) one student only; b) only the third student; c) all of the students; d) at least one of students? Task 2 (7 points). The pizza delivery department receives 75% brand pizza orders. Find the probability that among 100 received orders...
please answer the missing spots The air t pr bability distributian o the number K af cars and the number ץ cf buses per sgnal c ce at a Prpased lettum lane is displayed in tne accom any ng Oit po bability tale 0.015 0.010 0.025 D.030 0.20 0.050 20.075 0.050 0.125 4 0.060 0.040 0.100 D.30.20 .0so (a) What is the probability that there is exactly ore car end exactly une bus during a cycle? (b) What is the...
please answer the missing spots The air t pr bability distributian o the number K af cars and the number ץ cf buses per sgnal c ce at a Prpased lettum lane is displayed in tne accom any ng Oit po bability tale 0.015 0.010 0.025 D.030 0.20 0.050 20.075 0.050 0.125 4 0.060 0.040 0.100 D.30.20 .0so (a) What is the probability that there is exactly ore car end exactly une bus during a cycle? (b) What is the...