Infinity problem

infinity+infinity= infinity,...This one I understand. But why is: infinity - infinity= not defined...WHY is it not equal to 0...From our childhood we have learnt that if we have some N no. of terms( or things) and we subtract N from them then the answer is 0...But why in this case it is not defined..

help

#NumberTheory

Easy Math Editor

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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

Indra Ballav Sonowal , this is so because all infinities are not equal and so infinity is not a distinct number .For example the set of real numbers(R) is infinite so is the set of integers(Z) so R-Z=infinity-infinity should be zero but removing all integers from real numbers will leave the decimals which are infinite themselves however this is a different infinity from the real numbers this all happens because some infinities are smaller while some are bigger .hope it helped :)

Sahil Goyat - 1 year, 7 months ago

Hmm...got it...infinite varies with variation in type of sets we are taking....:D

Indra Ballav Sonowal - 1 year, 7 months ago

yes, now you got it :)

Sahil Goyat - 1 year, 7 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$