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Tju [1.3M]
3 years ago
15

Do logarithmic functions have horizontal asymptotes?

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

9514 1404 393

Answer:

  not generally

Step-by-step explanation:

The basic log function has a vertical asymptote where its argument is zero. It has a positive slope for all positive arguments. It tends to infinity as the argument tends to infinity. There is no horizontal asymptote.

__

A log function can be made part of a larger expression in a way that would give the expression a horizontal asymptote. For example, the function ...

  f(x) = 1/log(x)

has a horizontal asymptote at f(x) = 0. (This asymptote is approached very slowly.)

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