- #1

mcastillo356

Gold Member

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- TL;DR Summary
- I've got a very recurred rational function for which I would like to find out the proof of the vertical asymptote.

Hi, PF

The aim is to prove how the approach from the left and right sides of the ##x##x axis eventually renders a vertical asymptote for the function ##\frac{1}{x}##. I've been searching in the textbook "Calculus", 7th edition, by Robert A. Adams and Christopher Essex, but I haven't found nothing but uncertain clues. Or naive proofs ( i.e., YouTube, mentioning the fact that the more we become near to zero at the abscissa, the less turns the ordinate). Any suggestion would be fine. Apologizes for not attempt provided.

Greetings!

The aim is to prove how the approach from the left and right sides of the ##x##x axis eventually renders a vertical asymptote for the function ##\frac{1}{x}##. I've been searching in the textbook "Calculus", 7th edition, by Robert A. Adams and Christopher Essex, but I haven't found nothing but uncertain clues. Or naive proofs ( i.e., YouTube, mentioning the fact that the more we become near to zero at the abscissa, the less turns the ordinate). Any suggestion would be fine. Apologizes for not attempt provided.

Greetings!