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TheSimpliFire
My WordPress blog is here!
About: Where I store any mathematical problems I've made up :)
My favourite questions:
On the integral $\int_{-\pi/2}^{\pi/2}\sin(x/\sin(x/\sin(x/\sin\cdots)))\,dx$ and On the integral $\int_0^\pi\sin(x+\sin(x+\sin(x+\cdots)))\,dx$
Finding the turning points of $f(x)=\left(x-a+\frac1{ax}\right)^a-\left(\frac1x-\frac1a+ax\right)^x$
Mathematical coincidences concerning the numbers $\pi$, $e$ and $163$
Convergence concerning the $\alpha$th derivative of $f(x)=x^{\alpha}-\alpha^x$
My favourite answers:
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