University Calculus

The University of New South Wales Course , Prof. Chris Tisdell

192 students enrolled

Overview

Contents:
How to solve inequalities - Sketching graphs of reciprocal functions - Domain and range of a function - Limits of functions & their evaluation - One-sided limits of functions & their evaluation - Continuity of a function - an example - Differentiability of a function - an example

Lecture 4: Limits of functions & their evaluation. Chris Tisdell UNSW Sydney

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        Lecture Details

        A simple example is presented where the limit as as $x$ tends to infinity is sought. The solution involves simple algebra and an application of the squeeze-pinching-sandwich theorem. Such an example is seen in first-year university. The limit of a function as $x to infty$ (if it exists) describes the functions "long term" behaviour and can be important information in modelling, as this limit enables us to make predictions about the future states of the phenomena involved.

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