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(– 4)" Consider the power series An(x + 6)" where An that is, the series n! n=0 (– 4)" (x + 6)" n! n=0 (a) What is the centre of the power series? An+1 (b) Evaluate lim An (c) What is the radius of convergence for the given power series? (Enter in a fraction or number rounded to three decimal places, oo for ∞, -0o for – o, or DNE.)

(– 4)" Consider the power series An(x + 6)" where An that is, the series n! n=0 (– 4)" (x + 6)" n! n=0 (a) What is the centre of the power series? An+1 (b) Evaluate lim An (c) What is the radius of convergence for the given power series? (Enter in a fraction or number rounded to three decimal places, oo for ∞, -0o for – o, or DNE.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(- 4)" Consider the power series > An(x + 6)" where An = n! that is, the series n=0 ( – 4)" (x + 6)" - n! n=0 (a) What is the centre of the power series? An+1 (b) Evaluate lim An (c) What is the radius of convergence for the given power series? (Enter in a fraction or number rounded to three decimal plac oo for o, -oo for – o, or DNE.)
Transcribed Image Text:(- 4)" Consider the power series > An(x + 6)" where An = n! that is, the series n=0 ( – 4)" (x + 6)" - n! n=0 (a) What is the centre of the power series? An+1 (b) Evaluate lim An (c) What is the radius of convergence for the given power series? (Enter in a fraction or number rounded to three decimal plac oo for o, -oo for – o, or DNE.)
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