In 8 and 9, find the interval of convergence for (10 points each) (including endpoints) 2...
Find the series’ radius and interval of convergence. Check
endpoints for convergence.
8 2 (x – 3)" n35n n=1
16. Find the interval of convergence (check the endpoints of convergence): (-1)"(x+10) (n+1)
Find the interval of convergence for the power series. Do a check for the endpoints. "(x+2) 0 2"
Find the radius and interval of convergence of the following power series function, including the analysis of any endpoints of the interval. (x - 3)" f(x) = 2 31 n=1
Problem 7. (10 points) Find the center, radius of convergence and interval of convergence for the power series IM8 (-1)'(x - 1)" m2 +1 Center: x = Radius of Convergence: Interval of Convergence (use interval notation): Note: You can earn partial credit on this problem. Problem 8. (10 points) Find the Taylor polynomial of degree 2 for $(x) = + x centered at a -6. 73(x) =
Find the series' radius and interval of convergence. Check endpoints for convergence. Σ *(x - 3) η35η η1
Question 1 (10 points) Find the radius of convergence and the interval of convergence of the following power series. Make sure to clearly indicate and justify whether or not the end points of the interval are included in the interval of convergence. (3.7 - 6)" 2+1 The radius of convergence is: The interval of convergence is: Page 2
Find R, the radius of convergence, and the open
interval of convergence for:
Σ The series has the open interval of convergence of (-2,2). Determine if the series converges or diverges at each endpoint to find the full n=1 interval of convergence. n. .2" At x = -2 the series converges At x = 2 the series diverges The interval of convergence is M Find R, the radius of convergence, and the open interval of convergence for: (2x - 1)2n+1...
12. (10 points) Find the radius and interval of convergence of the following power series. Be sure to check the endpoints if the interval is finite! M8 (x – 5)" (-3)n+1m2 n=3
What is the interval of convergence, radius of convergence and
are the endpoints included or not?
Σ (3.0 – 6)" 2η γη +1 n=1