Hey /sci/, an aquatince of mine says that (1/0)=infinity.
Is he right?
lim x->0 1/x = +inf from the right, - inf from the left.
But it's still a limit, not the actual result.
>>7978612
No, because 0 times infinity does not equal 1.
>>7978612
1/0=0
No. 1/0 does not equal anything.
Suppose 1/0 did equal something, let it be a.
a = 1/0. Then 0*a = 1. Clearly that does not make sense.
learn how to spell "acquaintance" first and then we'll talk about numbers.
Usually when I see this it has to do with complex manifolds such as the Riemann sphere that map the extend complex plane [math]\mathbb{C} \cup \left \{ \infty \right \}[\math]. These people say division by zero results in 'complex infinity' [math]\bar{\mathbb{C}}[\math]. Which is true in cases where division by zero results in a vertical asymptope.
Then what happens is stupid people who don't know fuck all about complex analysis or algebraic geometry hear this and say "1/0=infinity" - this is false. The concept of infinity and complex infinity are two completely different things.
>>7978755
fucking dumbass, so 0 * 0 = 1?
>>7979231
>stupid people
you mean people who didn't hear about the Riemann sphere ? Do you mean to say intelligence is EXACTLY equal to trivial facts?
because that's retarded. Faggot.
>>7979261
You're right, I'm sorry for my poor choice in words. A more adequate label would've been ignorant.
I didn't really put too much thought into that post before I sent it out (as demonstrated by [\math] tags), I know it's not an excuse; I just thought you might want an explanation. When I look back on what I said my heart is filled with shame. I'm deeply remorseful if I hurt you with my comment.
>>7978612
If I have a cake and I divide it into 0 parts, I am left with one whole. The cake is made up of a finite amount of parts.
>>7978612
In the lim true->false he is right.
>>7978762
saw something similar in spivak,
bc a*a^-1 = 1
0*0^-1=1
but
0*a =0
contradiction
>>7978612
>(1/0)=infinity.
>implying 0 * infinity = 1