Investigate the series on convergence.
*The numbers on the left are the question number. (4.6)
Investigate the series on convergence. *The numbers on the left are the question number. (4.6) n+52 4.6. 〉--Sin n3...
0-11 points RogaCalcET3 10.4.027. 8. Determine convergence or divergence by any method. Σ-7 -n3/3 7n n e n=1 The series converges The series diverges. 0-11 points RogaCalcET3 10.4.027. 8. Determine convergence or divergence by any method. Σ-7 -n3/3 7n n e n=1 The series converges The series diverges.
Determine whether the series converges 8 nn a. sin(n) + cos(n) n3 +n + n +1 b. c. Σ (-1)" Vn+1 n! n=0 n=1 n=2
Test the series for convergence or divergence clearly justify sin(2n) 1+21 n=1
an, i.e., whether the series is convergent 1. Investigate the convergence property of or divergent, when (a) = Vn-yn-1. (b) an = n(login) (e) a = (vn - 1/2)"
number 4 1. Find the limit of the following sequences (find lim an) n n a.) an = n +3 b.) an = V35n n- 2. Determine whether the following series converge or diverge. -3 (n + 2)n + 5 b.) tan-'(n) n2 + 1 a.) 5 nel 3. Determine the radius of convergence and the interval of convergence of the series 2" (x – 3)" n n=1 n=0 (-1)", 2n 4. Using the power series cos(x) (2n)! (-« <...
Which one of the following is the interval of convergence of the power series 511)n 3n+3 (a) ( 58) (b) 135 135 5' 5 (d) (-00,00) 52 58 Which one of the following is the interval of convergence of the power series 511)n 3n+3 (a) ( 58) (b) 135 135 5' 5 (d) (-00,00) 52 58
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)!...
Question 8 n²+2 The series (-1)" (n3 + 5)ln n is n=1 Absolutely Convergent Conditionally Convergent Divergent Cannot Be Determined Show or upload your work below. Edit Insert Formats В І ox, x A E :
Find the interval of convergence for the given power series. (2 - 4)" 00 n=1 nl - 3)" The series is convergent from 2 = , left end included (enter Yor N): right end included (enter Y or N): to C = CI" 10.2 Suppose that (14 + 2) n=0 Find the first few coefficients. Со = C1 C2 C3 C4 Find the radius of convergence R of the power series. R= 2 The function f(x) is represented as a...
Fit to pageLL Page nen Question 1. Find the radius and interval of convergence of the power series 3 n=1 Fit to pageLL Page nen Question 1. Find the radius and interval of convergence of the power series 3 n=1