THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
 Mathematica HowTo
How to | Evaluate Infinite Sums and Products
In calculus, infinite sums and products can pose a challenge to manipulate by hand. Mathematica can evaluate a huge number of different types of sums and products with ease.
Use Sum to set up the classic sum , with the function to sum over as the first argument. Use Mathematica's usual range notation {variable, minimum, maximum} as the second argument:
 Out[1]=
This also works for finite sums like :
 Out[2]=
Use 1. to get the decimal representation:
 Out[3]=
This checks that :
 Out[4]=
Some functions have an infinite sum representation, and Mathematica will recognize these. For example :
 Out[5]=

Many functions have product representations as well, and Mathematica will even recognize these.
Use Product to check , a function found by the mathematician Euler. The arguments of Product have the same form as Sum:
 Out[6]=
Even more abstract functions will be recognized; the Product representation of involves the set of prime numbers:
 Out[7]=
 使用条款  • 隐私政策  • 网站索引 选择语言