In the proof of the Basel problem Euler reaches a step where expansion of $(\sin x)/x$ is $[1-(x^2/\pi^2)][1-(x^2/4\pi^2)][1-(x^2/9\pi^2)]\cdots$ And from that he got to- $1- x^2\{1/\pi^2 + (1/4\pi^2) + (1/9\pi^2) +\cdots\}+ x^4(\cdots)+\cdots$. I don't understand how this happens?
2026-03-25 05:59:17.1774418357
Doubt in Euler's proof Basel problem
153 Views Asked by user61527 https://math.techqa.club/user/user61527/detail AtRelated Questions in SUMMATION
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