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Infinity has different meanings in different contexts. Here are some of them:

In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).

In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.

Infinity has different meanings in different contexts. Here are some of them:

In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).

In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.

Infinity has different meanings in different contexts. Here are some of them:

In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).

In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.

Infinity has different meanings in different contexts. Here are some of them:

In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).

In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.

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14y ago

Infinity has different meanings in different contexts. Here are some of them:

In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).

In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.

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Q: What is infinity used for IN MATH?
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