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How can I make these series equal to each other? 
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#1
Jun1114, 05:29 PM

P: 82

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! 


#2
Jun1114, 06:39 PM

Sci Advisor
P: 6,039

You can't. The first term of s2 is (1)! which is infinite.



#3
Jun1114, 07:29 PM

P: 82

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.



#4
Jun1214, 04:23 PM

Sci Advisor
P: 6,039

How can I make these series equal to each other?
S1 = (1+a)^{b}. I suggest you try to understand what this is about.



#5
Jun1714, 02:17 PM

P: 82

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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