New posts in analysis

What is the relation between Locally Compact Hausdorff Spaces and Complete Separable Metric Spaces?

Prob. 3, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Does this sequence converge?

Greatest lower bound property and least upper bound property

If $f$ has a vanishing (first or higher) derivative at every point, $f$ is a polynomial

Why does $z^3=0$ have 3 complex roots and not simply just $0$?

is there example that inequality $\sup\{\inf\{f(x,y) : x \in X\}: y \in Y\} \le \inf\{\sup\{f(x,y) : y \in Y\}: x \in X\}$ be strict?

Exercise 6.9 in Rudin's RCA (Real and Complex Analysis)

A functional relation which is satisfied by $\cos x$ and $\sin x$

How to prove this series $\sum_{n=1}^{\infty}\dfrac{a_{n}}{(n+1)a_{n+1}}$ diverges

Finding fundamental solution to the biharmonic operator $\Delta^2=\Delta(\Delta)$?

Equivalent measures if integral of $C_b$ functions is equal

Calculate Integral using residue theorem

Moments and weak convergence of probability measures

How do I show the function $I:\mathbb{R}^{+}\rightarrow\mathbb{R}$ defined by $I(x)=\int_{0}^{x} \frac{dt}{\sqrt{e^{x}-e^{t}}}$ has a unique maximum?

Maclaurin expansion of $\arctan(x)/(1 − x).$

Is a germ equivalent to an infinite jet?

CameraX Image analysis's imageproxy size and PreviewView size are not the same

Hamel Dimension of Infinite Dimensional Separable Banach Space

Sequence of function depending on $n$ and $\epsilon$

A limit of a uniformly convergent sequence of smooth functions