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Mathematica and Sums

  1. Oct 22, 2014 #1

    joshmccraney

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    Gold Member

    Does anyone know how to express a given function as a sum in mathematica using sigma notation? For example, I know how to make ##e^x = 1 + x^2/2 + x^3/6 + x^4/24...## but how would I have mathematica write it as ##e^x = \Sigma_{n=0}^{\infty} x^n/n!##?

    Thanks a ton!
     
  2. jcsd
  3. Oct 23, 2014 #2

    DrClaude

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    Staff: Mentor

    I'm not sure what you want here. If you want to write the sum yourself, use
    Code (Text):

    Sum[x^n/(n!),{n,0,Infinity}]
     
    Or do you want Mathematica to tell you what the sum is, given ##e^x##?
     
  4. Oct 23, 2014 #3

    joshmccraney

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    I was trying to have mathematica tell me the sum given ##e^x## (or any other function for that matter.

    Thanks for responding!
     
  5. Oct 23, 2014 #4

    DrClaude

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    Staff: Mentor

    The only way I can think of to obtain this is using natural language input:
    Code (Text):

    = e^x series representation
     
     
  6. Oct 23, 2014 #5

    joshmccraney

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    Gold Member

    thanks for your help!
     
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