Question

Why infinity minus infinity not equal to 0?

Answer 1

i think because the limit is too large

Answer 2

Suppose,
\[1 -\frac{ 1 }{ 2 } + \frac{ 1 }{ 3 } - \frac{ 1 }{ 4 } + \frac{ 1 }{ 5 } - \frac{ 1 }{ 6 }...\]

Answer 3

infinity's can differ (like they aren't all the same "size")

for example one infinity could be "larger" than another infinity

\[\lim_{x \rightarrow \infty}x =\infty \\ \lim_{x \rightarrow \infty}x^2=\infty \\ \text{ and } \\ \lim_{x \rightarrow \infty} (x-x^2)=-\infty \]

Answer 4

what if,
\[\infty-\infty+1 =0+1 = 1?\]

Answer 5

Ohhh, that's a very good example.\[\sum_{r=1}^{\infty} \frac{1}{2r-1} - \sum_{r=1}^{\infty} \frac{1}{2r} = \ln (2)\]

Answer 6

Infinity is not a number.

Answer 7

Then what is it?

Answer 8

Like all words it depends on your definition to give it meaning.

Answer 9

i like the saying that all infinities aren't created equal

Answer 10

I can't remember where I heard that from

Answer 11

like one function could get infinitely bigger faster than another function like in my example

Answer 12

\[\huge\rm \infty \cancel{=} \infty\] @skullpatrol xP

Answer 13

$$\infty - \infty = ?$$