Zur Theorie der Potenzreihen.¶
Weierstrass, K. (1894). Zur Theorie der Potenzreihen. Mathematische Werke, 1.
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Primes¶
- Convergence
- **Convergence is the limit-approach principle: a sequence or process is said to converge when its elements eventually enter and remain within every neighborhood of a target limit, formally captured by the epsilon-N condition for sequences (`∀ε > 0, ∃N : n ≥ N ⟹ d(xₙ, x) < ε`)
This source(Originating treatment of uniform convergence, distinguishing it from pointwise convergence and resolving long-standing confusions about termwise operations on series of functions. The 1841 manuscript date is widely cited though the published date is 1894; verify the exact publication and dating in B3.)
- **Convergence is the limit-approach principle: a sequence or process is said to converge when its elements eventually enter and remain within every neighborhood of a target limit, formally captured by the epsilon-N condition for sequences (`∀ε > 0, ∃N : n ≥ N ⟹ d(xₙ, x) < ε`)
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