Complex.norm_log_sub_logTaylor_le

∀ (n : ℕ) {z : ℂ},
  ‖z‖ < 1 → ‖Complex.log (1 + z) - Complex.logTaylor (n + 1) z‖ ≤ ‖z‖ ^ (n + 1) * (1 - ‖z‖)⁻¹ / (↑n + 1)

The difference of log (1+z) and its (n+1)st Taylor polynomial can be bounded in terms of ‖z‖.

Defined in: Mathlib.Analysis.SpecialFunctions.Complex.LogBounds
Cited by: 4 results in Mathlib
Foundations: Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound

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