Analiza Matematike 1 -

The derivative is the central object of Analiza 1. It measures instantaneous rate of change.

We say ( \lim_n \to \infty a_n = L ) if: [ \forall \epsilon > 0, \exists N \in \mathbbN \text such that \forall n \ge N, |a_n - L| < \epsilon ] This formal definition separates high school "intuition" from university-level rigor. analiza matematike 1

: L'Hôpital's Rule does not apply to forms like ( \frac10 ) (that's simply infinite, not indeterminate). The derivative is the central object of Analiza 1

The two-sided limit exists iff both one-sided limits exist and are equal. |a_n - L| &lt