# If f(x) = 1/x, then GeoGebra says f(0) = infinity

hjbortol shared this problem 2 years ago
Not a Problem

Hi!

If f(x) = 1/x, then GeoGebra says f(0) = infinity. This is wrong because

\lim_{x \rightarrow 0^{-}} 1/x = -infinity

Indeed, I think the correct answer should be f(0) = undefined.

Best regards, Humberto.

1

Infinity IS undefinided.

;)

1

In the Algebra View (by definition):

1/0 = ∞
-1/0 = -∞
0/0 = undefined

1

Michael,

I don't know any reference (book/article) that supports these definitions. See, for instance, Wikipedia:

Is there some good reason to choose such definitions? They areagainst what is teached in Calculus courses.

All the best, Humberto.

1

f(x)=1/x

f(0)

f(-0)