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1/0 is not infinity, it’s undefined. For the function 1/x as x->0 from the positive side the function tends to positive infinity, while as x->0 from the negati
by foobar1962 8y ago
1/0 is not infinity, it’s undefined.
For the function 1/x as x->0 from the positive side the function tends to positive infinity, while as x->0 from the negative side the function goes to negative infinity.
The function cannot be both plus and minus infinity at the same time.
- opmac 8y agoWhile you are technically correct, that's pedantic and doesn't impact the conclusions of this article one bit, nor does it really add to the discussion. It's written for the layman, and chose to purposefully ignore technical details such as lim x->0+ 1/x = +inf and lim x->0- 1/x = -inf.
- Koshkin 8y agoSure there is an infinity without a sign.