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Home  Infinite Series Power series Examples Example 3: Interval of Convergence (-∞, ∞) |
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Example 3: Interval of Convergence (-∞, ∞)
Find the interval of convergence of
For all x we have
Therefore by the Ratio Test the series converges for all x. It has radius of convergence ∞, and interval of convergence (-∞, ∞).
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Last Update: 2006-11-15