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Jan
30
comment What kinds of things are infinite series useful for?
One should look at how useful are these series for practical computation.
Jan
30
comment What kinds of things are infinite series useful for?
I think by series being useful you mean power series, as they are the simplest things to work with. There are many types of series that are interesting but not useful for practical use, e.g. then common Arctan series that gives the value for $\pi$.
Jan
30
comment Proof $(\log(n))^{\log(\log(n))} = O(n)$
does $\log(n)^{\log(\log(n))} $ mean $\log(n^{\log(\log(n))}) $ or $(\log n)^{\log(\log(n))} $?
Jan
30
comment Proof $(\log(n))^{\log(\log(n))} = O(n)$
This notation is a bit ambiguous. What does $\log^{\log(\log(n))}$ mean?
Jan
30
revised Prove $2\cos^2(x)=1+\cos(2x)$
edited title
Jan
30
comment Divergent products.
@GEdgar : lets be nice :)
Jan
29
revised Integral $ \int \frac{1}{x^{1+a} (1-x)^{1-a}} dx~,~a \gt 0$
edited title
Jan
28
comment Solve $\int_0^\infty \frac{\ln x}{x^2+4} \,\mathrm{d}x$
Integrals are evaluated not solved. "Solve" for what?
Jan
28
revised Solve $\int_0^\infty \frac{\ln x}{x^2+4} \,\mathrm{d}x$
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Jan
28
revised convergence of $\sum_{n=1}^\infty\frac{1}{n} [1+\frac{1}{\sqrt{2}}+…+\frac{1}{\sqrt{n}}]$
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Jan
28
comment convergence of $\sum_{n=1}^\infty\frac{1}{n} [1+\frac{1}{\sqrt{2}}+…+\frac{1}{\sqrt{n}}]$
compare with $\frac{1}{n \ln n}$
Jan
28
revised How to get to $5^3 \geq n^3$ in the proof by contradiction?
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Jan
28
revised Sum $(1-x)^n$ $\sum_{r=1}^n$ $r$ $n\choose r$ $(\frac{x}{1-x})^r$
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Jan
28
revised Integral $\int\frac{(\ln x)^{10}}{x}\,dx$
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Jan
28
revised Integral $\int_0^\infty e^{-x/2}x\log(1+kx^2)\,dx$
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Jan
28
revised Integral $\int_{0}^{\infty}\frac1{\sqrt[\alpha]{1+x^\beta}}dx$
added 1 character in body
Jan
28
comment Integral $\int_{0}^{\infty}\frac1{\sqrt[\alpha]{1+x^\beta}}dx$
@Travis : what are the most possible general values that they can assume? Initially them being real I guess but would complex or even matrix values be possible?
Jan
28
asked Integral $\int_{0}^{\infty}\frac1{\sqrt[\alpha]{1+x^\beta}}dx$
Jan
28
asked Is $\lim na_n \to 0$ sufficient for $\sum a_n$ to converge?
Jan
27
revised Expansion of function in polar coordinates
deleted 1 character in body