What is the vertical asymptote of 1/x?

Answer 1
The vertical asymptote of #1/x# occurs at #x=0#.
Vertical asymptotes occur at #x#-values for which the limit of the function as we approach these values from the right or the left (or both) approaches #+-oo#. Thus, in the example above, we look for when the function #f(x) = 1/x# approaches #+-oo#.
In this case, this will only occur when the denominator is 0. Since our denominator is simply #x#, this means our only vertical asymptote occurs at #x=0#.

For a more in-depth examination of vertical asymptotes, see here: https://tutor.hix.ai

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

The vertical asymptote of the function 1/x is the line x = 0.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7