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peaceandlove
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What does the exclamation mark mean in calculus? For example, a question might ask for the sum of a series ((-1)^n)/n!.
peaceandlove said:What does the exclamation mark mean in calculus? For example, a question might ask for the sum of a series ((-1)^n)/n!.
The exclamation mark, or factorial symbol, represents a mathematical operation in which the product of all positive integers less than or equal to a given number is calculated.
In calculus, the exclamation mark is often used in combinations and permutations, as well as in the calculation of binomial coefficients.
When an exclamation mark is followed by a number, it indicates that the factorial operation is being applied to that number.
An exclamation mark is used to represent the factorial operation, while a superscript factorial, such as n!, is used to denote a specific number that is being factorialized.
No, the exclamation mark is only applicable to positive integers in calculus. For non-integer numbers, the gamma function is used instead.