2.6 Limits at Infinity; Horizontal Asymptotes

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In this section we let x become arbitrarily large (positive or nega- tive) and see what happens to y.

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Intuitive Definition of a Limit at Infinity

Let f be a function defined on some interval (a, infinity).

This means that the values of f (x) can be made arbitrarily close to L by requiring x to be sufficiently large.

<p>Let f be a function defined on some interval (a, infinity). </p><p></p><p>This means that the values of f (x) can be made arbitrarily close to L by requiring x to be sufficiently large.</p>
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<p>Horizontal Asymptote </p>

Horizontal Asymptote

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Two horizontal asymptotes

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The graph of the natural exponential function

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Infinite Limits at Infinity

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Precise Definition of a Limit at Infinity

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Definition of an In nite Limit at Infinity

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