Prove that How do I go about starting this, knowing basel's problem? Basel problem - Wikipedia, the free encyclopedia
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Originally Posted by Lord Darkin Prove that How do I go about starting this, knowing basel's problem? Basel problem - Wikipedia, the free encyclopedia Start by noting that .
Okay. I'm not sure how you got that, though. Also, I'm not sure how to proceed even with that. Am I supposed to use a taylor series anywhere during this problem? I've looked at Wiki's page and it says that sinx/x was a proof used to find pi^2/6
Originally Posted by Lord Darkin Okay. I'm not sure how you got that, though. Also, I'm not sure how to proceed even with that. Am I supposed to use a taylor series anywhere during this problem? I've looked at Wiki's page and it says that sinx/x was a proof used to find pi^2/6 As Mr. Fantastic Suggested he is breaking the sum up into the even and odd parts. for example As another hint factor a out of the even terms on the right hand side and compare the right and left hand sides of the equality.
Originally Posted by TheEmptySet As another hint factor a out of the even terms on the right hand side and compare the right and left hand sides of the equality. Then that gives me So ... I have now factored out the 2 squared. But that just leaves me with the same thing I had ... ?
Originally Posted by Lord Darkin Then that gives me So ... I have now factored out the 2 squared. But that just leaves me with the same thing I had ... ? Please go back and read the replies you got again. In particular, my first reply shows exactly what to do.
Sorry about this I tried looking at Mr fantastic posts but I still cannot deciper it. I know that I'm close but I can't get it.
Originally Posted by Lord Darkin [snip] Therefore: and I hope it's clear what happens next.
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