What is the vertical asymptote of a log function?

Answer 1

Logarithm functions are defined on #(0,infty)# and they have an infinite limit at #0^+# (namely, #-infty# if the base is greater than 1, and #infty# if the base is between 0 and 1).

Thus, the #y#-axis, #x=0# is the vertical asymptote.

See general logarithms .

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 a log function is a vertical line that the graph of the function approaches but never touches or crosses. It occurs when the input of the logarithm approaches zero or becomes negative. For the common logarithm (base 10), the vertical asymptote is the line x = 0. For natural logarithm (base e), the vertical asymptote is the line x = 0 as well.

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