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 Revival
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2d
answered Prove $a_t \rightarrow x$ using the Betweenness Property
2d
comment $\lim_{n \to \infty}(\frac{a_n}{\sqrt{a_n^2+1}})=\frac{1}{2}$ - show that $a_n$ is convergent sequence
gotta have fast fingers in this game... :)
2d
answered $\lim_{n \to \infty}(\frac{a_n}{\sqrt{a_n^2+1}})=\frac{1}{2}$ - show that $a_n$ is convergent sequence
Jan
22
awarded  Revival
Dec
5
comment Show that there exists $g: \mathbb{\Omega} \rightarrow \mathbb{C}$ analytic such that $g(z)^n = f(z)$ for all $z \in \mathbb{\Omega}$
If $\Omega$ is not simply connected then your $arg f(z)$ might have to be such that $g(z)$ is not analytic. You need to show that in the simply connected case the resulting $g(z)$ is analytic.
Dec
5
answered Show that there exists $g: \mathbb{\Omega} \rightarrow \mathbb{C}$ analytic such that $g(z)^n = f(z)$ for all $z \in \mathbb{\Omega}$
Nov
22
revised For $x_1,..,x_n \in \mathbb{R}$, what is the value of $\mu$ that minimizes $\sum_{i = 1}^{n}|x_i-\mu|$?
added 116 characters in body
Nov
22
answered For $x_1,..,x_n \in \mathbb{R}$, what is the value of $\mu$ that minimizes $\sum_{i = 1}^{n}|x_i-\mu|$?
Nov
17
comment If $f(x)=x^3+3x+2$ and $g(x)$ is the inverse of it, find the area bounded by $g(x)$ and $x$-axis and ordinates $x=-2$ and $x=6$.
This isn't really a duplicate because the $x$-axis cuts through the region.
Nov
17
answered If $f(x)=x^3+3x+2$ and $g(x)$ is the inverse of it, find the area bounded by $g(x)$ and $x$-axis and ordinates $x=-2$ and $x=6$.
Nov
17
comment How to find the second derivative of the inverse function of $f(x)$ at $x=0$?
@Nizar See my answer, where I compute the first and second derivatives
Nov
17
revised How to find the second derivative of the inverse function of $f(x)$ at $x=0$?
added 49 characters in body
Nov
17
answered How to find the second derivative of the inverse function of $f(x)$ at $x=0$?
Nov
16
comment Solving the recurrence $a_{n+2} = 3a_{n+1} - 2a_n, a_0 = 1, a_1 = 3$ using generating functions
Go away, you're annoying. People have different styles of answering.
Nov
16
comment Solving the recurrence $a_{n+2} = 3a_{n+1} - 2a_n, a_0 = 1, a_1 = 3$ using generating functions
I think students know how to use google.
Nov
16
answered Solving the recurrence $a_{n+2} = 3a_{n+1} - 2a_n, a_0 = 1, a_1 = 3$ using generating functions
Nov
7
answered If $x_0$ and $x_1$ are positive numbers and $s_n = \frac12(x_n + x_{n-1})$, prove that the sequence converges.
Nov
5
answered $o(z) = 28$, what is $o(z^{16})$?
Nov
2
awarded  Yearling
Nov
1
revised How is the function$ f\left ( z \right )=\left ( x^{3}+3xy^{2}-3x \right )+i\left ( y^{3}+3x^{2}y-3y \right )$ nowhere analytic
added 10 characters in body