Precise Definition of Infinite Limits at Infinity

in MES Science15 days ago

In this video I go over the precise definition of infinite limits as x approaches infinity. This is a pretty straight forward definition and is similar to my earlier videos on the precise definition of limits in general, and limits at infinity.


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Precise Definition of Infinite Limits at Infinity

Precise Definition of Infinite Limits at Infinity.jpeg

Definition:

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

image.png

means that for every positive number M there is a corresponding positive number N such that:

image.png

Similar definitions when ∞ is replaced with -∞

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