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Infinityinfinity, often denoted as $\infty^2$ or $\infty \cdot \infty$, is a concept in mathematics and physics that represents the result of multiplying the concept of infinity by itself. In standard arithmetic, infinity is not a number and therefore cannot be manipulated using the usual rules of arithmetic. However, in contexts where such operations are considered, such as in extended real numbers or in certain limits, $\infty^2$ is typically understood to remain infinity.
The idea of $\infty^2$ arises in various mathematical fields. In set theory, for example, the cardinality of
In calculus, when evaluating limits, expressions that tend towards infinity squared are also considered to tend
The concept is also present in theoretical physics, particularly in quantum field theory, where infinities can