What does radius of convergence mean?

Word Pronunciation & Dictionary

radius of convergence

Word Rarity Rare

Frequency: Zipf frequency 3.31 in modern English

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noun

for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R

radii of convergence (plural)

power series interval of convergence

power series interval of convergence

What does radius of convergence mean?: for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R

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