Kenneth Nye

### Questions (33)

 8 Using L'Hopital Rule, evaluate $\lim_{x \to 0} {\left( \frac {1} {x^2}-\frac {\cot x} {x} \right)}$ 7 Prime factor of a composite three digit integer 5 characteristic function for independent $X$ and $Y$ 4 Find a two term composite asymptotic expansion of second order ODE with boundary conditions 4 Chinese remainder theorem does not hold in non commutative case

### Reputation (779)

 +40 Find a two term composite asymptotic expansion of second order ODE with boundary conditions +10 characteristic function for independent $X$ and $Y$ +10 Borel-Cantelli Lemma to prove limsup of Brownian motion is infty +10 Find the ratio of segments using Ceva's theorem

 2 characteristic function for independent $X$ and $Y$ -1 $\left|\sin(x)\right|$ derivative at $\pi$

### Tags (50)

 2 probability-theory × 9 0 ring-theory × 3 2 characteristic-functions × 2 0 ordinary-differential-equations × 2 0 discrete-mathematics × 5 0 graph-theory × 2 0 measure-theory × 3 0 fourier-transform × 2 0 probability-distributions × 3 0 limits × 2

### Bookmarks (4)

 22 The dual space of $c$ is $\ell^1$ 4 How to understand codimension? 2 Show that functional $f(x)=x'((a+b)/2)$ is bounded in $C^1([a,b])$ but unbounded in $C([a,b])$ 1 A question on WKB method.