Determine the interval and radius of convergence for the power series: ∞∑n=17n/n(3x−1)n-1.
Determine the interval and radius of convergence for the power series: ∞∑n=17n/n(3x−1)n-1. Correct Answer 7|3x−1|
Okay, let’s start off with the Ratio Test to get our hands on L = limn→ ∞∣7n+1(3x−1)n/(n+1)n7n(3x−1)n-1∣=limn→∞∣7n(3x−1)n+1∣=|3x−1|limn→∞7n/(3n-1)=7|3x−1|.
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Feb 20, 2025