Infinity symbol (∞) - RapidTables.com (2024)

The infinity symbol is a mathematical symbol that represents an infinitely large number.

The infinity symbol is written with the Lemniscate symbol:

It represents an infinitely positive big number.

When we want to write an infinitely negative number we should write:

-∞

When we want to write an infinitely small number we should write:

1/∞

Is infinity a real number?

Infinity is not a number. It does not represent a specific number, but an infinitely large quantity.

Infinity rules & properties

NameKey type
Positive infinity
Negative infinity-∞
Infinity difference∞ - ∞ is undefined
Zero product0 ⋅ ∞ is undefined
Infinity quotient∞ / ∞ is undefined
Real number sumx + ∞ = ∞, for x∈ℝ
Positive number productx ⋅ ∞ = ∞, for x>0

How to type infinity symbol on keyboard

PlatformKey typeDescription
PC windowsAlt+236Hold the ALT key and type 236 on the num-lock keypad.
MacintoshOption+5Hold the Option key and press 5
Microsoft wordInsert > Symbol > ∞Menu selection: Insert > Symbol > ∞
Alt+236Hold the ALT key and type 236 on the num-lock keypad.
Microsoft excelInsert > Symbol > ∞Menu selection: Insert > Symbol > ∞
Alt+236Hold the ALT key and type 236 on the num-lock keypad.
Web pageCtrl+C, Ctrl+VCopy ∞ from here and paste it in your web page.
FacebookCtrl+C, Ctrl+VCopy ∞ from here and paste it in your Facebook page.
HTML∞ or ∞
ASCII code236
UnicodeU+221E
LaTeX\infty
MATLAB\inftyExample: title('Graph to \infty')

Infinity in set theory

Aleph-null (Infinity symbol (∞) - RapidTables.com (1)) is the infinite number of elements (cardinality) of the naturalnumbers set (Infinity symbol (∞) - RapidTables.com (2)).

Aleph-one (Infinity symbol (∞) - RapidTables.com (3))is the infinite number of elements (cardinality) of the countable ordinal numbers set (ω1).

Algebra symbols ►

See also

Infinity symbol (∞) - RapidTables.com (2024)

FAQs

What is the symbol for infinite answers? ›

The infinity symbol is sometimes called the lemniscate and is a mathematical symbol representing the concept of infinity. The sign of infinity is used more often to represent a potential infinity, rather than to represent an actually infinite quantity such as the ordinal numbers and cardinal numbers.

How do you type ∞ on a keyboard? ›

Hold the ALT key and type 236 on the num-lock keypad. Hold the ALT key and type 236 on the num-lock keypad. Copy ∞ from here and paste it in your web page. Copy ∞ from here and paste it in your Facebook page.

What does this symbol mean ∞? ›

The infinity symbol (∞) is a mathematical symbol representing the concept of infinity. This symbol is also called a lemniscate, after the lemniscate curves of a similar shape studied in algebraic geometry, or "lazy eight", in the terminology of livestock branding.

What does ∞ mean in math? ›

infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655. Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical.

What is ♾ ♾? ›

The symbol ♾️ means "infinity" and is often used to represent limitless love and support.

Does infinity start at 0? ›

As the number line is endless, it is infinite, but as it also does not have a beginning. As such, in the number line, we represent two types of infinity: a positive infinity, indicating that the line has no end, and a negative infinity, which indicates that the line representing the numbers has no beginning either.

What is the power of ∞? ›

A number bigger than 1 raised to the power infinity is infinity: 1.2 = ∞. A fraction (e.g. 0.99) raised to the power infinity is zero: 0.99 = 0. Negative powers are reciprocals: xb = .

What is the secret of the infinity symbol? ›

The infinity symbol is believed to be derived from the Greek letter Omega. (Ω), the last letter in a series of letters. In Christian imagery, Jesus Christ is referred to as Alpha and Omega, symbolizing the beginning and end of time. Omega is associated with infinity because God and time are infinite.

What is the hidden meaning of the infinity symbol? ›

Many people use the symbol to express concepts like eternal love, never-ending commitment, continuous spiritual growth, and unlimited potential. The shape of the symbol also represents endlessness, as it can be drawn with one unbroken stroke, and it has no beginning or endpoint.

What does infinity mean in love? ›

The infinity symbol represents everlasting love and this is why it makes the perfect gift for someone special. It shows them how much you value them, love, and care about them. It also represents the fact that you want to be with them forever.

What is the biggest number in the world? ›

A Googolplex is often regarded as the largest number in the world. It is represented as 10googol. This number can also be expressed in exponential notation as 10 to the power of 10 to the power of 100, written as 10^(10^[100]).

What is ∞ in Roman numerals? ›

Which number was represented with infinity by Roman people? Romans actually use the symbol CIƆ or CƆ which probably looks like the infinity symbol [∞]. 1000 was also defined with the 21st letter of the Greek alphabet which is phi. 1000 was represented by the symbol CIƆ or CƆ.

What is the symbol for infinite solutions? ›

Sometimes we use the symbol , which means infinity, to represent infinite solutions.

What is the symbol for infinite sets? ›

The symbol for infinity ( ∞ ) is used to represent the cardinality of infinite sets.

What is the symbol for infinite limits? ›

(The word "infinity" literally means without end.) If the limit is +∞, then the function increases without end. If the limit is −∞, it decreases without end. We say a limit is equal to ±∞ just to indicate this increase or decrease, which is more information than we would get if we simply said the limit doesn't exist.

What is the symbol for the infinite series? ›

You can use sigma notation to represent an infinite series. For example, ∑ n = 1 ∞ 10 ( 1 2 ) n − 1 is an infinite series. The infinity symbol that placed above the sigma notation indicates that the series is infinite.

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