EDB — 1FT

Exercises

1. [1FT]Prerequisites:[1BR]↺↻,[1FR]↺↻.Difficulty:.Evaluate for which \(r {\gt} 0\) we have that the Taylor remainder of \(f (x) = - \log (1 - x)\) is infinitesimal in \(n\), uniformly for \(|x| {\lt} r\); this, using the remainder seen in [(16.34)]↺↻, using the integral remainder or using the Lagrange remainder.

   Solution 1

   [1FV]↺↻