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Question 25 For which values of a does the following power series converge? 8 (-1) +...
(13) For what values of x, does the power series 1 n. (2x + 1)^ In...
(13) For what values of x, does the power series 1 n. (2x + 1)^ In 5n n=0 converge? (14) For what values of x, does the power series ^ (n + 1)! nao (2n + 1).X" converge?
12. For what values of r does the series (2n)!r" 22n(n!) converge absolutely? converge conditionally? diverge?...
12. For what values of r does the series (2n)!r" 22n(n!) converge absolutely? converge conditionally? diverge? n=1
Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. ...
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...
number 4 1. Find the limit of the following sequences (find lim an) n n a.)...
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)! (-« <...
number 4 as clearly as possible 1. Find the limit of the following sequences (find lim...
number 4 as clearly as possible
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...
please i need the question 9 and 10 for the detailed proof and explaination ! thanks ! akx*, then for what values does the series 9. If R is the radius of convergence for Σ000 Σ000Akx-k converge? Exp...
please i need the question 9 and 10 for the detailed proof and
explaination ! thanks !
akx*, then for what values does the series 9. If R is the radius of convergence for Σ000 Σ000Akx-k converge? Explain. 10. Suppose that the series Σ ak of real numbers converges conditionally. Prove that the power series Σ001 akxk has the radius of convergence R = 1
akx*, then for what values does the series 9. If R is the radius of...
Σ (-1)n(7x+6 ,- Consider the series (a) Find the series' radius and interval of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series...
Σ (-1)n(7x+6 ,- Consider the series (a) Find the series' radius and interval of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Find the interval of convergence Find the radius of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? Select the correct choice below and, if necessary, fill in...
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series conve...
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Question 3 (1 point) The function f is defined by the power series 1)2 3! 5! 72n+1)! 1)% n-0 (2n+...
Question 3 (1 point) The function f is defined by the power series 1)2 3! 5! 72n+1)! 1)% n-0 (2n+1) ! for all real numbers x. Use the first and second derivative test by finding f(x) and f"(x). Determine whether f has a local maximum, a local minimum, or neither at x=0. Give a reason for your answer. Use the
Question 3 (1 point) The function f is defined by the power series 1)2 3! 5! 72n+1)! 1)% n-0 (2n+1)...
Question # 5. (8 marks) Determine which of the following series converge and which diverge (don't...
Question # 5. (8 marks) Determine which of the following series converge and which diverge (don't forget to state the tests from class that you are using!). If any of the convergent ones can be evaluated by the techniques we have learned in class, you should give their value as well. 4 + 3n" + 7n +2 In(In(n)) (1) Σ 3n13 - 2n° +58 +n +3 4n In(n) (ii) 16
(13) For what values of x, does the power series 1 n. (2x + 1)^ In 5n n=0 converge? (14) For what values of x, does the power series ^ (n + 1)! nao (2n + 1).X" converge?
12. For what values of r does the series (2n)!r" 22n(n!) converge absolutely? converge conditionally? diverge? n=1
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...
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)! (-« <...
number 4 as clearly as possible
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...
please i need the question 9 and 10 for the detailed proof and
explaination ! thanks !
akx*, then for what values does the series 9. If R is the radius of convergence for Σ000 Σ000Akx-k converge? Explain. 10. Suppose that the series Σ ak of real numbers converges conditionally. Prove that the power series Σ001 akxk has the radius of convergence R = 1
akx*, then for what values does the series 9. If R is the radius of...
Σ (-1)n(7x+6 ,- Consider the series (a) Find the series' radius and interval of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Find the interval of convergence Find the radius of convergence (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? Select the correct choice below and, if necessary, fill in...
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Does the series converge or dliverge? 1. nel n Does the series converge absolutely, converge conditio 2. n-2 vn-1 3nn! 3. Does the series converge or diverge? 2-6.10.(4n+ 2) Does the series converge or diverge? 4. 2 nln n
Question 3 (1 point) The function f is defined by the power series 1)2 3! 5! 72n+1)! 1)% n-0 (2n+1) ! for all real numbers x. Use the first and second derivative test by finding f(x) and f"(x). Determine whether f has a local maximum, a local minimum, or neither at x=0. Give a reason for your answer. Use the
Question 3 (1 point) The function f is defined by the power series 1)2 3! 5! 72n+1)! 1)% n-0 (2n+1)...
Question # 5. (8 marks) Determine which of the following series converge and which diverge (don't forget to state the tests from class that you are using!). If any of the convergent ones can be evaluated by the techniques we have learned in class, you should give their value as well. 4 + 3n" + 7n +2 In(In(n)) (1) Σ 3n13 - 2n° +58 +n +3 4n In(n) (ii) 16
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