Consider the power series ∑n=1∞(−3)nn−−√(x+5)n.∑n=1∞(−3)nn(x+5)n. Find the radius of convergence R.R. If it is infinite, type "infinity" or "inf". Answer: R=R= What is the interval of convergence? Answer (in interval notation (a,b), [a,b], (a,b] or [a,b). For ∞∞, type "infinity" and for −∞−∞, type "-infinity".):
Consider the power series ∑n=1∞(−3)nn−−√(x+5)n.∑n=1∞(−3)nn(x+5)n. Find the radius of convergence R.R. If it is infinite, type "infinity" or "inf". Answer: R=R= What is the interval of convergence? Answer (in interval notation (a,b), [a,b], (a,b] or [a,b). For ∞∞, type "infinity" and for −∞−∞, type "-infinity".):
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the power series
∑n=1∞(−3)nn−−√(x+5)n.∑n=1∞(−3)nn(x+5)n.
Find the radius of convergence R.R. If it is infinite, type "infinity" or "inf".
Answer: R=R=
What is the interval of convergence?
Answer (in interval notation (a,b), [a,b], (a,b] or [a,b). For ∞∞, type "infinity" and for −∞−∞, type "-infinity".):
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