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Can infinity be an element of a set?
Yes.The set of {Aleph-null, Aleph-one, ...}, which is the set of the different infinities, has infinity as an element.Aleph-null is the countable infinity.
How many infinity's are there?
There are an infinite number of infinities. The power set is the set of all subsets of a set. The power set of an infinite set is a larger infinite set. The first (smallest) infinite set is the integers: 1,2, 3, .... The second infinity is the set of real numbers. The third infinity is the set of all plane curves.
Large number in the world?
positive infinity
What is the set-builder notation of the problem the set of negative infinity and 0?
I think you mean zero to negative infinity is {x: x< or equal to 0}
Does a negative number times positive infinity equal negative infinity?
Yes. Multiplying a negative number by a very large positive number will equal a large negative number. If you have the function y = -x, then as x approaches infinity, y will approach negative infinity at the same rate.
What is the set of all points outside of a circle?
Infinity
What is the set of all even natural numbers?
Infinity.
What is the supremum of empty set?
it's negative infinity!
What is infinity times infinity?
INFINITY
What is a set of points that are endless in both directions in math?
Infinity
Can any large number when compared with infinity equal zero?
No, because your number will always keep its value. Infinity is comprised of an infinite amount of numbers and your number is included in that set. It will have a lower value than all the numbers that come after it in a progressive manner but it will always keep its value.
What does tends to infinity mean?
When we say as a variable n tends to infinity, we mean as n gets very very large. For example. If we look at 1/n as n tend to infinity, then n gets very large and 1/n goes to zero.
