Question

\[\infty\times0=\]

Answer 1

0!!!!

Answer 2

@lgbasallote

Answer 3

0

Answer 4

definitely \(\pi\)

Answer 5

@satellite73 IKR

Answer 6

what is your evidence @satellite73

Answer 7

oh wait, i am wrong it is \(e^2\) sorry

Answer 8

you can rewrite \[\infty \times 0\] as \[\infty \times \frac 1\infty\]
right?

then it becomes l'hospital...

Answer 9

assuming of course these are functions...

Answer 10

there is another way

Answer 11

really? hmm

Answer 12

change infinity to 1/0 to make it 0/0?

Answer 13

either way...it's indeterminate....

Answer 14

if this is a serious question, presumably it is about limits, i.e. if \(\lim_{x\to\infty}f(x)=\infty\) and \(\lim_{x\to \infty}g(x)=0\) then what is
\[\lim_{x\to \infty}f(x)g(x)\] the answer is it could be anything, it depends on \(f\) and \(g\)
the form is not determined

Answer 15

\[\large a \times b = c\]
\[\large a=\frac{c}{b}\]
\[\large b=\frac{c}{a}\]
Let a = ∞, b=0
\[\large ∞=\frac{c}{0}\]
\[\large 0=\frac{c}{∞}\]
But c/0 is undefined and so is c/∞, right?
What if c were positive? What if c were negative?

Answer 16

so it could be \(\pi\) or it could be \(e^2\) or it could be anything

Answer 17

an interesting question though is... \[\frac 1 \infty = 0\]
therefore... \[0 \times \infty = 1\]
that should be right?

Answer 18

just expressing how weird math is

Answer 19

not at all

Answer 20

infinity is not a number, and so \(\frac{1}{\infty}\) is not a number either

Answer 21

Agree with @satellite73
To say that 1/∞ = 0, you have to take the limit of 1/x as x-->∞
and then 0 × (x is really really big) still equals 0.

Answer 22

math is still weird....

Answer 23

(I'm going to have to go get coffee, then come back for this.
Unkle is about to get all Twilight Zone on us, I can feel it.)

Answer 24

you are making short cut statements about limits
namely if \[\lim_{x\to\infty}f(x)=\infty\]
then \[\lim_{x\to \infty}\frac{1}{f(x)}=0\]

Answer 25

i never really understood the function of limits...

Answer 26

math is too ambiguous for me

Answer 27

\(\infty\) is not a number
\(\infty\times 0\) is not a number
\[\frac{5}{\infty}\] is not a number

Answer 28

(aside: Anybody hear the full treatment of 'Hilbert's Hotel?')

Answer 29

Is the slope of the vertical line +∞ or -∞ @UnkleRhaukus ?

Answer 30

i dont know what 'Hilbert's Hotel?' is

Answer 31

Check it out some time. David Deutsch gives a good telling of it in his book, 'The Beginning of Infinity.' (Fantastic book on the philosophy of science; I recommend it to everyone.)

Answer 32

the product of the slopes of perpendicular lines is