# How can I make these series equal to each other?

by hddd123456789
Tags: equal, series
 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! Attached Thumbnails
 Sci Advisor P: 6,077 You can't. The first term of s2 is (-1)! which is infinite.
 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.
 Sci Advisor P: 6,077 How can I make these series equal to each other? S1 = (1+a)b. I suggest you try to understand what this is about.
 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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