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5. Find radius of convergence and don't forget to check end points. (-1)"x"
Find the series’ radius and interval of convergence. Check
endpoints for convergence.
8 2 (x – 3)" n35n n=1
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
Q1. (10 pts) (a)Find the center, radius, and interval of convergence of the power series En=o 4n(x + 2)" !!!Do not forget to check the end points of the interval for convergence. (b) Write the first 5 terms of this series. So define the 4th degree polynomial approximation, P4(x) for the given series with the first 5 terms. Can we use P4(x) to approximate the series at x = -2.1? Explain.
Find the series' radius and interval of convergence. Check endpoints for convergence. Σ *(x - 3) η35η η1
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) =
3.)Find the Taylor Series and the radius of convergence (don't do interval ) for a) f(x) = sinx about a = b) f(x) = x about a = 16
both problems
(5 points) Find the radius of convergence for the power series (x-3)". (You do not need to find the interval of convergence, but show your work and indicate the convergence test used.) 5. (a) (3 points) Change the given rectangular equation to polar form: r? = 31 (b) (3 points) Change the given polar equation to rectangular form: r=5cos
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
neatly please
Find the interval of convergence and radius of convergence of the series Ak=1((x – 5)*/k2).