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How can I make these series equal to each other?

  1. Jun 11, 2014 #1

    I'm trying to see if there is an operation or set of operations I can perform on S1 so that it equals S2. I've just been going in circles and it seems I just don't have enough knowledge of how factorials behave in series to crack this. Any hints would be much appreciated.

    Hope this makes sense.


    Attached Files:

  2. jcsd
  3. Jun 11, 2014 #2


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    You can't. The first term of s2 is (-1)! which is infinite.
  4. Jun 11, 2014 #3
    Thanks for the reply; would it help to set k=1 for both series, and deal with the first terms separately? And forgot to mention that S1=e.
    Last edited: Jun 11, 2014
  5. Jun 12, 2014 #4


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    S1 = (1+a)b. I suggest you try to understand what this is about.
  6. Jun 17, 2014 #5
    Sorry, you mean understand the problem or the equation in your post? I know that S1 equals (1+a)^b as well as e. But I guess there isn't a similar closed form of S2.

    As for the problem, this is just some "fun" exploration of numbers I made up.
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