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How can I make these series equal to each other?

by hddd123456789
Tags: equal, series
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hddd123456789
#1
Jun11-14, 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!
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mathman
#2
Jun11-14, 06:39 PM
Sci Advisor
P: 6,077
You can't. The first term of s2 is (-1)! which is infinite.
hddd123456789
#3
Jun11-14, 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.

mathman
#4
Jun12-14, 04:23 PM
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.
hddd123456789
#5
Jun17-14, 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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