Precise Definition of Limits at infinity: Example 2

in MES Science8 days ago

In this video I go over a second example on using the precise definition of limits at infinity to prove that the limit as x approaches infinity of the function 1/x equals 0.


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Precise Definition of Limits at Infinite – Horizontal Asymptotes - Example 2

Precise Definition of Limits at Infinity  Example 2.jpg

Example 1

Use a graph to find a number N such that:

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Example 2

Use precise definition of a limit at infinity to prove:

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Precise Definition of a Limit at Infinity

Let f be a function defined on some interval (a,∞). Then:

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Means that for every ε > 0 there is a corresponding N such that:

image.png

Solution to Example 2

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