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.

Comments (4)

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1

Infinity IS undefinided.

;)

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1

In the Algebra View (by definition):

1/0 = ∞
-1/0 = -∞
0/0 = undefined

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Michael,


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


https://en.wikipedia.org/wi...


df9154f223707814f20a6691ed8b615f

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


All the best, Humberto.

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me gusta la polémica. intentad

f(x)=1/x


f(0)

f(-0)

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