What is the solution to this puzzling brain teaser?

  • Thread starter jmckennon
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In summary, The conversation involves a problem with a brain teaser that uses the standard Normal probability distribution and a power series expansion. The person is asking for help in showing that the series is an anti-derivative of the given function and is unsure of how many terms to differentiate. They have brought the problem to their calculus 3 teacher for assistance.
  • #1
jmckennon
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I have been looking at this problem for quite some time and have been unable to figure out how to approach it.

the problem is in the attachment. It's from a brain teaser that my teacher gave us in class and it's so puzzling that I need to know how to do it. Any help would be EXTREMELY appreciated
 

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  • #2
What you have is the standard Normal probability distribution and a power series expansion for it. You want to show that the series is, in fact, an anti-derivative of the given function. To do that, differentiate the series term by term.
 
  • #3
How many terms should i differentiate the series too? I brought the problem to my calculus 3 teacher and she was puzzled by it as well.
 
  • #4
Find the series representation of the antiderivative and sum it out until you see a correspondence in the two expansions.
 

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