Infinite Limits: Horizontal and Vertical Asymptote Lines

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In this video, I discuss finite limits in terms of horizontal and vertical asymptote lines and also go through some very useful examples and tricks in solving limits in which you approach infinity.

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Infinite Limits: Horizontal and Vertical Asymptotes

Asymptotes and Limits examples Resized Thumbnail

Vertical Asymptotes

image.png

Horizontal Asymptotes

image.png

Example 1

Find the asymptote lines of the function y = 1/x.

Solution:

image.png

image.png

Example 2

Find the limit:

image.png

Solution:

image.png

Example 3

Find the horizontal and vertical asymptote lines of the function:

image.png

Solution:

image.png

image.png

image.png

Infinite Limits: Horizontal and Vertical Asymptote Lines | Ecency