PLEASE ANSWER AS MANY AS YOU
CAN I NEED THE EXPLANATIONS TO STUDY ((((((
PLEASE ANSWER AS MANY AS YOU CAN I NEED THE EXPLANATIONS TO STUDY (((((( [03] Letan...
Call... U-Mail Student C... P PSTAT 120A math6a MyLab Languages.. (e) n=3 (f) k 1 2. Classify each series as Please justify your answer. absolutely convergent, conditionally convergent, or divergent. (a) -1+1 k2+3 k-1 k! (b)-1 k-2 sin k (c) k2 k-1 (d) -1)"(Vn+1-Vn) n=1 1 (e) -1* In k k-2 3. Find the interval of convergence and radius of convergence for the power series. (3)
Call... U-Mail Student C... P PSTAT 120A math6a MyLab Languages.. (e) n=3 (f) k...
1. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. a) (-3) * 2. (2n + 1)! b) (2n)! 2 (n! 2. Find the radius of convergence and the interval of convergence.
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...
I need both of these but if you choose: #2
- find a value of n such that s-sol S 10-6 2. (12pts) Determine whether the series is absolutely convergent, conditionally convergent, or divergent 3. (12pts) Find the radius of convergence and interval of convergence of the series. (m) Event (6) § 3772
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...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV If it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
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
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...
3. Find the Maclaurin series for S ln(1+x)da and its radius of convergence. 4. For each of the following series, determine whether it is absolutely con- vergent, conditionally convergent or divergent. Justify your answer by stating which test you are using and by showing all cal- culations. a) b) 2 c) . (1+1) d) .(-1)"V
(-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...