Calculus

Limits

Sequences, series, functions and asymptotes — up to Abitur+

Introductory and qualification phase, exam preparation, basic and advanced level.

The first part covers limits of sequences: explicit basic forms, fractional terms, roots, recursive sequences and series. The second part turns to functions — behaviour at infinity for polynomial and rational functions, exponential function and logarithm, one-sided limits and poles, removable discontinuities, roots, l'Hôpital's rule and continuity — followed by a chapter on asymptotes. The chapters Application, Abitur, Transfer and Abitur+ raise the level step by step. Every problem comes with two hints, an approach, the full solution and the typical mistake.