Infinite Limits and Asymptotes

Read this section to learn how to use and apply infinite limits to asymptotes. Work through practice problems 1-8.


When you turn on an automobile or a light bulb many things happen, and some of them are uniquely part of the start up of the system. These "transient" things occur only during start up, and then the system settles down to its steady-state operation. The start up behavior of systems can be very important, but sometimes we want to investigate the steady-state or long term behavior of the system: how is the system behaving "after a long time?" In this section we consider ways of investigating and describing the long term behavior of functions and the systems they may model: how is a function behaving "when \mathrm{x} (or -\mathrm{x}) is arbitrarily large?"

Source: Dale Hoffman,
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