4. Answer the following questions. Justify your answers. a. Is the Ratio Test always conclusive? If...
4 4. Answer the following questions. Justify your answers. A. (Spts) Determine if the series 2.0 is convergent or divergent. B. (8pts) Determine if the series is convergent or divergent. C (4pts) If an is a convergent series with nonnegative terms, what can you say about the convergence of the series 2? Is it convergent? Divergent? Or may converge or diverge depending on ay. Explain. 22 In
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x) = (5x centered at a = 1 using the definition of the Taylor series. Also find the radius of convergence of the series. b. (8pts) Find a power series representation for the function f(x) = 1 5+X C. (4pts) Suppose that the function F is an antiderivative of a function f. How can you obtain the Maclaurin series of F from the Maclaurin series...
Help
5. Answer the following questions. Justify your answers. A. (8pts) If the nth partial sum of a series an is equal to sn = (1+0)") what is the sum of the series? en B. (8pts) Determine if the series 2n=1zten is convergent or divergent. C. (4pts) Can you make an infinite series of nonzero terms that converges to any number you want? Explain.
1. Answer the following questions. Justify your answers. (a) (3
marks) For what values of x does the series 1 + 22x 2 + 24x 4 + 26x
6 · · · + 22nx 2n + · · · converge? (b) (9 marks) Is the following
series absolutely convergent, conditionally convergent or
divergent? i. X∞ n=1 2 √ n − 2 √ n + 1 ii. X∞ n=1 arctan(n) n2 + 1
iii. X∞ k=1 (−1)k k
1. Answer the...
3. [2/4 Points DETAILS PREVIOUS ANSWERS SCALCS 11.6.007. Use the Ratio Test to determine whether the series is convergent or divergent. విదు n=1 sh Identify and Evaluate the following limit. an + 1 lim X an + 1 Since lim VI 1, the series is convergent +30 Need Help? Read Wichit Tekipa Tutor Show My Work (Optional) Submit Answer 4. [2/4 Points] DETAILS PREVIOUS ANSWERS SCALC8 11.6.008. Use the Ratio Test to determine whether the series is convergent or divergent....
Please answer. Thanks
an in each of the following cases using the Ratio Test? Answer "Convergent," (1 point) What can you say about the series "Divergent," or "Inconclusive." Note: You only have two attempts at this problem. ? 2. limon #= 1 an
- 4"n! Evaluate the the following limit. If it is infinite, type "infinity' or 'inf". If it does not exist, type (1 point) Consider the series "DNE". Answer: L = What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive'. Answer: choose one - Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", *Conditionally Convergent", or "Divergent'. Answer: choose one
please show detailed solution, box each answer 4
answers total, thank you
Use the Ratio Test to determine whether the series is convergent or divergent. (-1)^- 1 99 593 n=1 Identify an Evaluate the following limit. an+ 1 lim n00 an a Since lim n-00 n + 1 an ?. 1, ---Select---
The
questions for the calculusIII
Instructions. Answer each question completely: justify your answers. This assignment is due at 5pm on Wednesday September 25 in Assignment Box #20. 1. Determine if the series given below are convergent. If convergent, calculate the sum of the series. If divergent, justify your answer. 1+23 2 32n n=1 (b) Žlcos(1) (1) § (12 + 3n+3) Suggestion: Use partial fractions. 2. Express this number as a ratio of integers: 2.46 = 2.46464646.. 3. The Fibonacci sequence...
In your answer state: (a) whether the above series Use the Limit Comparison Test to determine whether the following series is convergent or divergent Σ n +5 3 nin +4 is convergent or divergent, and (b) which series did you compare with the series is divergent, compare with E1 nin the series is convergent, compare with E 1 2. n=in the series is convergent, compare with E 1 nain the series is divergent, compare with 21 nin 1 the series...