Author Topic: Just Give Up?  (Read 2209 times)

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Nation of One

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Re: Just Give Up?
« on: September 16, 2015, 11:40:21 am »
Thanks for the information.  I have always wondered about that esoteric representation of sin(x), the one with the fractions ... I am going to look into just that (for now).  I think this would "please the spirits" more than reading the "lost" notebooks of Ramanujan, although, I may browse through them - of course, having confessed repeatedly my limited capacity - focusing first and primarily on this manner of representing sin(x) or euler's constant or PI with these endless series of fractions.

I am curious and fascinated by this.  Thanks again.


The one I am thinking of is sin(x) = x - (x^3 / 3!) + (x^5 / 5!) - (x^7 / 7!) + ...


or, you know, sin(x) = "the sum for k from k=0 to k=infinity" ((-1)^k * x^(1 + 2*k)) / (1 + 2*k)!

From what little I know about Ramanujan - I just found out about him and I will be 50 in 2017 (if the crick don't rise), I think this is related to his work somehow. 
« Last Edit: September 16, 2015, 01:23:47 pm by H »
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