Exclamation Mark Meaning in Calculus

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In calculus, the exclamation mark denotes the factorial of a number, which is the product of all positive integers up to that number. For example, n! (n factorial) is calculated as n × (n-1) × (n-2) × ... × 1. This notation is commonly used in series and combinatorial problems, such as in the sum of a series like ((-1)^n)/n!. Understanding factorials is essential for evaluating expressions and series in calculus. The factorial function plays a significant role in various mathematical applications, including permutations and combinations.
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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!.
 
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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!.

In many math applications, it refers to the factorial:

http://en.wikipedia.org/wiki/Factorial

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