1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How can I make these series equal to each other?

  1. Jun 11, 2014 #1
    Hi,

    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.

    Thanks!
     

    Attached Files:

  2. jcsd
  3. Jun 11, 2014 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    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

    mathman

    User Avatar
    Science Advisor
    Gold Member

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook