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Dec
5
accepted Finding the function of the power series $\sum\limits _{n=1}^{\infty}\frac{x^{2n+1}}{n}$
Dec
5
comment Finding the function of the power series $\sum\limits _{n=1}^{\infty}\frac{x^{2n+1}}{n}$
@r9m yep, you are right...
Dec
5
asked Finding the function of the power series $\sum\limits _{n=1}^{\infty}\frac{x^{2n+1}}{n}$
Nov
28
comment Proving differentiability on every interval equals proving differentiability on all of $\mathbb{R}$?
Well, that should have been pretty obvious to me looking back at it.. Thanks for clearing it all up anyway
Nov
28
accepted Proving differentiability on every interval equals proving differentiability on all of $\mathbb{R}$?
Nov
28
comment Proving differentiability on every interval equals proving differentiability on all of $\mathbb{R}$?
@JohnMa don't really think I am.. The theorem in Wikipedia doesn't mention anything on a bound for any closed interval. Would it have any affect on all of $\mathbb{R}$ to have such a bound? en.wikipedia.org/wiki/Uniform_convergence#To_differentiability
Nov
28
revised Proving differentiability on every interval equals proving differentiability on all of $\mathbb{R}$?
edited tags
Nov
28
asked Proving differentiability on every interval equals proving differentiability on all of $\mathbb{R}$?
Nov
26
accepted If $\lim\limits _{x\to\infty}\left(\log f\right)'\left(x\right)$ is negative, then $\int_{0}^{\infty}f\left(x\right)dx $ converges?
Nov
24
awarded  Self-Learner
Nov
24
comment If $\lim\limits _{x\to\infty}\left(\log f\right)'\left(x\right)$ is negative, then $\int_{0}^{\infty}f\left(x\right)dx $ converges?
@Did I didn't really understand your second comment though, but I did take the first one somewhere, and I'd love to know if my answer is correct :P
Nov
24
answered If $\lim\limits _{x\to\infty}\left(\log f\right)'\left(x\right)$ is negative, then $\int_{0}^{\infty}f\left(x\right)dx $ converges?
Nov
24
comment If $\lim\limits _{x\to\infty}\left(\log f\right)'\left(x\right)$ is negative, then $\int_{0}^{\infty}f\left(x\right)dx $ converges?
@Did Thinking about it so far, still not sure.. Definitely feels like I'm missing something simple though..
Nov
24
asked If $\lim\limits _{x\to\infty}\left(\log f\right)'\left(x\right)$ is negative, then $\int_{0}^{\infty}f\left(x\right)dx $ converges?
Nov
19
comment Powers of linear transformation and minimal polynomial
@MarcvanLeeuwen well, I give my reasoning in the question. Setting $T^4$ in the minimal polynomial of $T$ gives you zero, so the minimal polynomial of $T^4$ must divide it...
Nov
19
accepted Powers of linear transformation and minimal polynomial
Nov
19
comment Powers of linear transformation and minimal polynomial
Well took me a while, but I understand everything. Thank you
Nov
19
comment Powers of linear transformation and minimal polynomial
Also, I'm not quite sure about the relation $T^14=T^13$. This is obviously true if you look only on the generalized eigenspace of $0$, but what makes it hold true for all of $V$?
Nov
19
comment Powers of linear transformation and minimal polynomial
Unfortunately I did not understand the answer. How from $(T^4)^5-(T^4)^4=0$ did you get to the minimal polynomial?
Nov
19
asked Powers of linear transformation and minimal polynomial