Theorems · Theorem · real analysis
Real.hasSum_pow_div_log_of_abs_lt_one
∀ {x : ℝ}, |x| < 1 → HasSum (fun n => x ^ (n + 1) / (↑n + 1)) (-Real.log (1 - x))Power series expansion of the logarithm around 1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites45
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by1
Results whose statement or proof uses this declaration.
- Real.hasSum_log_sub_log_of_abs_lt_oneproof · cited by 1