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Feb
12
comment Deducing the series expansion of $\arctan(x^2)$ via the series expansion of $\arctan(x)$ at $x=0$
So we must show that the replacement still yields a valid power series and that it has the same radius of convergence?
Feb
12
asked Deducing the series expansion of $\arctan(x^2)$ via the series expansion of $\arctan(x)$ at $x=0$
Jan
27
accepted Multivariable taylor series expansion of $\exp(-(x^2+y^2))$
Jan
27
comment Multivariable taylor series expansion of $\exp(-(x^2+y^2))$
Am I right in assuming that $-\exp(-5)(4x+2y-11)$ would be the right polynomial in my case?
Jan
27
revised Multivariable taylor series expansion of $\exp(-(x^2+y^2))$
added 106 characters in body
Jan
27
asked Multivariable taylor series expansion of $\exp(-(x^2+y^2))$
Jan
22
revised Eigenvectors of $\begin{pmatrix}6&2\\-10&-1\end{pmatrix}$ (linear equations with complex numbers)
tried to include the matrix in the title
Jan
22
accepted Eigenvectors of $\begin{pmatrix}6&2\\-10&-1\end{pmatrix}$ (linear equations with complex numbers)
Jan
21
comment Eigenvectors of $\begin{pmatrix}6&2\\-10&-1\end{pmatrix}$ (linear equations with complex numbers)
@Prospect I do know the algorithm but I am struggling with the particular steps in this specific case.
Jan
21
asked Eigenvectors of $\begin{pmatrix}6&2\\-10&-1\end{pmatrix}$ (linear equations with complex numbers)
Dec
15
accepted ELI5: What are pointwise and uniform convergence and what is the difference?
Dec
13
revised ELI5: What are pointwise and uniform convergence and what is the difference?
Fixed tags.
Dec
13
asked ELI5: What are pointwise and uniform convergence and what is the difference?
Dec
9
comment Continuous function taking each of its values twice
It seems I am misunderstanding something in regards to the claim from the paper as all examples that come to mind have a finite amount of discontinuities.
Dec
9
answered Continuous function taking each of its values twice
Dec
9
comment Continuous function taking each of its values twice
Every function that satisfies this property has an infinite number of discontinuities. Refer to ams.org/journals/proc/1986-098-02/S0002-9939-1986-0854049-8/…
Dec
9
answered Show $\sin(\frac{\pi}{3})=\frac{1}{2}\sqrt{3}$
Dec
9
comment Using L Hopital's Rule Using $e$
$e=\exp(1) \rightarrow (\exp(1))'=(1)'\cdot\exp(1)=0$ as AndreasT mentioned.
Dec
9
accepted Show that $\int_1^\infty \frac{\ln x}{\left(1+x^2\right)^\lambda}\mathrm dx$ is convergent only for $\lambda > \frac{1}{2}$
Dec
8
revised Definite integral $\int _{0}^{1}\sqrt [3] {2x^{3}-3x^{2}-x+1}~\mathrm dx$
Improved formatting.