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visits member for 3 years
seen Jan 5 at 5:38

Jan
20
awarded  Yearling
Jan
5
revised Method of Frobenius
deleted 1 character in body
Dec
23
answered find sum of ln(1- $\frac{1}{n^2})$. prove it converges
Sep
30
awarded  Explainer
Sep
19
answered Differentiate Piecewise Functions
Sep
3
answered How do I simplify $\arccos(x)−\arcsin(x)$ for $x$ in $(−1,1)$
Sep
3
answered Evaluate the sum
Aug
26
answered Analysis of convergence of $\sum \frac{1}{\log^a n}$
Aug
21
answered Lower bound on $F$ under the assumption $\theta F(s)\le sF'(s)$
Aug
20
comment Why is $ A_1 x + … + A_n x^n $ a solution of $ \sum_0^{n} (-1)^n \frac{x^n}{n!} \frac{d^n y}{d x^n} = 0 $?
Your differential equation should read as follows: $$\sum_{k=0}^n(-1)^k\frac{x^{k-1}}{k!}\frac{d^ky}{dx^k}=0.$$ Notice that the power on $x$ is $k-1$, not $k$.
Aug
15
answered Determining if a recursively defined sequence converges and finding its limit
Aug
14
comment In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
@goblin Use the definition $f^n=f^{n-1}\circ f$ for $n\ge 2$, and $f^1=f$.
Aug
10
revised In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
added 518 characters in body
Aug
9
revised In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
deleted 102 characters in body
Aug
9
revised In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
added 106 characters in body
Aug
9
comment In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
@goblin It was a mistake. I fixed it.
Aug
9
revised In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
added 106 characters in body
Aug
9
answered In a normed vector space, does $x+r\Gamma = x'+r'\Gamma$ imply $x=x',r=r'$?
Jul
30
answered Proof for complex numbers and square root
Jul
21
comment How to evaluate $\sum_{n=1}^{38}\sin\left(\frac{n^8\pi}{38}\right)$
@AymanHourieh what do you mean by power reduction? you should notice that the power is inside not on the sin!