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Function asymptotes: horizontal asymptote, vertical asymptote and oblique asymptote. Definitions, examples, problems The function defined by parts as.

Solve NowAsymptotes are lines which the function approaches indefinitely. There are three types of asymptotes: 1Horizontal. 2Vertical. 3Oblical.

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Vertical asymptotes are vertical lines which the function approaches indefinitely without ever cutting them.

An asymptote can be horizontal, vertical or oblique (as in the example). Below, we define and explain how to calculate the asymptotes of a

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There is no formula to calculate the vertical asymptotes of a function, but we must find the domain of the function and see at which points where the function is not defined the limit gives infinity. Then, x=1/2 is a vertical asymptote, since the limit of the function at this point gives infinity.

A straight line x=k is a VERTICAL ASYNTHOTY of the function f(x) if by taking values of x close to k the graph of the function looks more and more like the

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Without horizontal asymptotes. Functions that have a horizontal asymptote that is horizontal only on one side. As an example we have the function f(x)=e^

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