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Find the radius of convergence for Σ (sin'n)an. n=1

Find the radius of convergence for Σ (sin'n)an. n=1

Advanced Engineering Mathematics
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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6.1.3
**Find the radius of convergence for** \[ \sum_{n=1}^{\infty} (\sin^2 n) x^n. \] *Explanation:* This mathematical expression is an infinite series that needs the radius of convergence to be determined. The series is expressed in terms of the variable \( x \) and involves the sine function squared over natural numbers \( n \).
Transcribed Image Text:**Find the radius of convergence for** \[ \sum_{n=1}^{\infty} (\sin^2 n) x^n. \] *Explanation:* This mathematical expression is an infinite series that needs the radius of convergence to be determined. The series is expressed in terms of the variable \( x \) and involves the sine function squared over natural numbers \( n \).
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