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Jul
7
revised Does $y_n=\frac{1}{n+1}+\frac{1}{n+2}+..+\frac{1}{2n}$ converge or diverge?
edited title
Jul
6
comment Proving that the limit $ \lim\limits_{n\rightarrow \infty} (n!)^{\frac{1}{n}}$ diverges to infinity
@Lord_Farin : If something is so pertinent then the system should do something about it( like it does when the title is longer than 150 characters). I have been editing fair few titles and this one got away, I say 1 in so many edited titles is not worth getting annoyed about, the same way that I don't get annoyed cleaning up titles have generic titles like "Help me with problem" or "How to find x". PS : I saw the current long version of title and left it be. IIRC from math magazines, the titles are brief and very often are only latex, but I am trying to stick with leaving non latex in the titl
Jul
6
revised Proving that the limit $ \lim\limits_{n\rightarrow \infty} (n!)^{\frac{1}{n}}$ diverges to infinity
edited title
Jul
5
comment What is the smallest value N for which we can guarantee that the error approximation of the alternating series?
Hint : After the $n$th term how by how much does the value of series increase or decrease? Hint 2 : each term also gets smaller ( no surprise there if working with a converging series).
Jul
5
comment Is $e^{i+\pi}$ irrational or not?
@JyrkiLahtonen : Yes, Indeed it is absurd, but the problem was with using the concept of irrationality where it has no meaning! as Soham Chowdhury said : $i$ is not irrational. It's not even real. The very definition of irrational depending on not being rational means even a potato should be considered irrational because it is not rational, it only makes sense in the domain of reals.
Jul
5
comment Is $e^{i+\pi}$ irrational or not?
The definition of rational being automatically inferred is the narrow one, maybe calling it real irrational number as oppose to rational number, one can very well go with Guessian Rationals when working in complex domain en.wikipedia.org/wiki/Gaussian_rational
Jul
5
comment Is $e^{i+\pi}$ irrational or not?
The definition of rational being automatically inferred is the narrow one, maybe calling it real irrational number as oppose to rational number, one can very well go with Guessian Rationals when working in complex domain en.wikipedia.org/wiki/Gaussian_rational
Jul
5
comment Is $e^{i+\pi}$ irrational or not?
en.wikipedia.org/wiki/… irrationality does not depend on not being real.
Jul
5
comment Is $e^{i+\pi}$ irrational or not?
en.wikipedia.org/wiki/… irrationality does not depend on not being real.
Jul
5
revised Prove that: $a^2+b^2+(1-a-b)^2\ge \frac {1}{3}$
added 11 characters in body; edited title
Jul
5
comment Is $e^{i+\pi}$ irrational or not?
Please tell us what you think $e^{i+\pi}$ is
Jul
5
revised Is $e^{i+\pi}$ irrational or not?
added 4 characters in body; edited title
Jul
5
revised Prove that: $a^2+b^2+(1-a-b)^2\ge \frac {1}{3}$
added 46 characters in body; edited title
Jul
5
revised Evaluating $\int \frac{dt}{(\cos(t))^2}$?
edited title
Jul
4
revised Evaluating $\sum_{n=1}^{\infty} {(-1)^n \cdot \frac{2^{2n-1}}{(2n+1)\cdot 3^{2n-1}}}$
edited title
Jul
4
comment If $f(k)=\dfrac{(k+1)^{k+1}}{k^k}\sum_{t=k+1}^{\infty}\dfrac{1}{t^2}$ then $f(k+1)>f(k)$
What is $f(k+1)-f(k)$?, the reason I ask it is it might be easier to show their difference is always positive
Jul
4
comment If $f(k)=\dfrac{(k+1)^{k+1}}{k^k}\sum_{t=k+1}^{\infty}\dfrac{1}{t^2}$ then $f(k+1)>f(k)$
What is $f(k+1)-f(k)$?
Jul
4
revised If $f(k)=\dfrac{(k+1)^{k+1}}{k^k}\sum_{t=k+1}^{\infty}\dfrac{1}{t^2}$ then $f(k+1)>f(k)$
edited title
Jul
4
comment $f(x)=x^{x}$ what happens when $x$ is a negative irrational number?
sorry , My bad, thinking of something else
Jul
3
revised Evaluating $\int \frac{\mathrm dz}{z^3 \sqrt{z^2 - 4}}$
edited title