New posts in continuity

Does this intuition for "calculus-ish" continuity generalize to topological continuity?

general-topology continuity

How do I show a function on 2-adic units is continuous?

convergence-divergence continuity p-adic-number-theory collatz-conjecture

$f\colon(0,\infty)\to \mathbb R$ be continuous ; $f(x)\le f(nx) , \forall n \in \mathbb N , \forall x >0$ , then $\lim_{x\to \infty} f(x)$ exists? [closed]

real-analysis limits continuity

$f(x) = (2x-1)/x^2$: proof of continuity using the epsilon-delta definition [closed]

real-analysis continuity epsilon-delta

Continuous and Open maps

general-topology functions terminology continuity

$f(x)=x$ if $x$ irrational and $f(x)=p\sin\frac1q$ if $x$ rational

real-analysis continuity

Determine whether piecewise function is continuous, differentiable, has removable discontinuity or non-removable?

functions continuity

Drawing by lifting pencil from paper can still beget continuous function.

real-analysis functions continuity

Doubt regarding one-one onto function

calculus derivatives continuity

Is it true that, if $f$ is uniformly continuous in $(a,b),$ then the limits $\lim_{x\to a^+} f(x)$ and $\lim_{x\to b^-} f(x)$ exist?

calculus limits continuity uniform-continuity

A uniform continuous function which is not Hölder continuous

real-analysis continuity holder-spaces

$\lim\limits_{n\to\infty}f\left(\frac{x}{n}\right)=0$ for every $x > 0$. Prove $\lim\limits_{x \to 0}f(x)=0$

limits continuity

If $x:[0,\infty)$ is càdlàg, then the left-limit function $x^-(t):=\lim_{s\to t-}x(s)$ has right-limits equal to $x(t)$

real-analysis analysis continuity

$f'=0$ on a co-countable set implies $f$ constant? [duplicate]

real-analysis calculus derivatives continuity monotone-functions

Is an expanding map on a compact metric space continuous?

general-topology metric-spaces continuity compactness

How does Continuity and Handoff work and what are the differences?

How to formalize the below solution

continuity ordinals

A function whose partial derivatives exist at a point but is not continuous

calculus limits continuity

Help with understanding the proof for: $AB$ and $BA$ have the same characteristic polynomial (for square complex matrices)

linear-algebra matrices continuity determinant characteristic-functions

Prove that $f(x)$ is a constant function. [duplicate]

real-analysis continuity