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## Examples of Limit Calculations

In this section, we will actually calculate some limits for specific functions $f(x)$ as $x$ tends either to a specific real number $a\in\mathbb R$ or to infinity $\infty$. The examples listed below are important since they occur very often as lemmata for other mathematical theorems.

| | | | created: 2020-07-10 18:36:16 | modified: 2020-07-10 18:40:21 | by: bookofproofs | references: [581], [8311]

## 16.Proposition: Infinitesimal Growth of Sine is the Growth of the Identity Function

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[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983

[8311] Modler, F.; Kreh, M.: “Tutorium Analysis 1 und Lineare Algebra 1”, Springer Spektrum, 2018, 4. Auflage