Schiz explains. A guide to the limits.
This video will explain the methodology for solving a large number of typical problems on the topic of "Limits" in mathematical analysis. Limits of functions at a point, as well as limits at infinity, will be discussed. The examples feature functions representing both ratios of two functions and power-exponential functions.
The first remarkable limit, the second remarkable limit, Taylor's formula, and infinitesimal equivalence are used. Examples involving the product of infinitesimals and bounded quantities are shown.
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00:00 Introduction
01:33 The first step in any example
02:35 Ratio of polynomials at infinity
07:36 Ratio of polynomials at a point
10:35 Examples with roots
17:57 Infinitesimal Equivalences
27:45 Second Remarkable Example
35:26 Change of Variable in the Limit
38:10 Limits with Bounded Functions
40:22 Taylor's Formula
51:26 L'Hôpital's Rule
53:59 Final
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