Prove that the given limit is independent of polynomial $p(x)$.
6310
How to prove that exponential grows faster than polynomial?
11834
Prove that $\liminf x_n = -\limsup (-x_n)$
137745
Substitution in determining limit of polynomials
25654
E[X| X>Y] for independent X, Y ~ N(0,1)
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
104965
Find $n$ such that polynomial is divisible
27932
Show that $\lim\limits_{n\to\infty}\frac{a_1+a_2+\dots+a_n}{n^2}$ exists and is independent of the choice of $a$
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
15914
Prove that any polynomial function is continuous
94682
Polynomial: prove there is no double root
40609
Prove that $f(X)$ and $g(Y)$ are independent if $X$ and $Y$ are independent
62755
The simplest way of proving that $|\mathcal{P}(\mathbb{N})| = |\mathbb{R}| = c$
68700
Proving Two Limits Are Equal to Each Other
135641
Algebraic independence of exponentials
85269
Proof that limit of (lnx)/x = 0 without LHopital
57055
Are $|X|$ and $\operatorname{sgn}(X)$ independent?
79457
Geometric random variables $X_1:G(p_1)$ $X_2:G(p_2)$ $X_3:G(p_3)$ are independent, prove the following :