Call... U-Mail Student C... P PSTAT 120A math6a MyLab Languages.. (e) n=3 (f) k 1 2....
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.
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) (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...
Considering Σ-n (x-6)", specify the radius of convergence and centre of the power series Determine the behaviour at the boundary points (if they exist) The radius of convergence is R- The power series is centred at a Describe the behaviour at the boundary points a - R and a +R, in that order, separated by a dot. Write a vector with 1 for absolutely convergent, 2 for conditionally convergent, 3 for divergent, O for not applicable (ie R is 0...
Determine whether the series is absolutely convergent, conditionally convergent, or divergent D1-4:73k-2) e. k! 2* k= 1 (2n2+1)" g. D1-4:73k-2) e. k! 2* k= 1 (2n2+1)" g.
4. (a) Indicate where the series is (i) absolutely convergent, n-1 where it is (ii) conditionally convergent, and where it is (iii) divergent. Justify your answers Find f,(z) if f(x) = arctan (e* ) + arcsin V2x + 4. (b) (a) Set up (but do not evaluate) a definite integral that represents the area 5. of the region R inside the circle r = 4 sin θ and outside the circle r = 2. Carefully sketch the region R. (i)...
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
please solve the question 13. a) Find the inverse of the function f(x)=cosh x=2(c+e-x) b) State the domain and range of both the function and its inverse. Determine if the series is absolutely convergent, conditionally convergent or divergent. 14. o 5(-1)" In n 1/2 13. a) Find the inverse of the function f(x)=cosh x=2(c+e-x) b) State the domain and range of both the function and its inverse. Determine if the series is absolutely convergent, conditionally convergent or divergent. 14. o...
PLEASE ANSWER AS MANY AS YOU CAN I NEED THE EXPLANATIONS TO STUDY (((((( [03] Letan = n3"x", then lim lan+1/an] = (A)x/31; (B) 3xl; (C)|3/x]; (D) xl; (E) None of these. [04] The radius R of convergence of n3yn is (A) 1; (B) 72; (C) 3; (D) 1/3 (E) None of these. [05] The interval of convergence of Zn3"x" is (A) [-1/4,44); (B) (-1/4, 14); (C) (-1/4,44]; (D) [-1/4,44]; (E) None of these. [06] The radius of convergence ofx/n3")...
Pt 1 pt 2 pt 3 pt 4 Please Answer every question and SHOW WORK! Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...