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

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

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

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

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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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- 1.How to solve inequalities. Chris Tisdell UNSW Sydney
- 2.Sketching graphs of reciprocal functions. Chris Tisdell UNSW Sydney
- 3.Domain and range of a function. Chris Tisdell UNSW Sydney
- 4.Limits of functions & their evaluation. Chris Tisdell UNSW Sydney
- 5.One-sided limits of functions & their evaluation. Chris Tisdell UNSW Sydney
- 6.Continuity of a function - an example. Chris Tisdell UNSW Sydney
- 7.Differentiability of a function - an example. Chris Tisdell UNSW Sydney

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