Newbetuts

If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not

Continuous differentiability implies Lipschitz continuity

A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?

Why are norms continuous? [closed]

Why weren't continuous functions defined as Darboux functions?

Is an integral always continuous?

Proof that a constraints set is closed

How do I prove that a filter converges in a cartesian product?

Prove $\sin x$ is uniformly continuous on $\mathbb R$

Is f(x) = |sinx| + |cos x| differentiable at x = pi/2?

Can a continuous function from the reals to the reals assume each value an even number of times?

Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space

function has global maximum [duplicate]

Why is this combination of nearest-integer functions --- surprisingly --- continuous?

$f,g$ continuous from $X$ to $Y$. if they are agree on a dense set $A$ of $X$ then they agree on $X$

Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?

Proof of "the continuous image of a connected set is connected"

New posts in continuity

Show $f$ is constant if $|f(x)-f(y)|\leq (x-y)^2$.

Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?

Injective functions with intermediate-value property are continuous. Better proof?

If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not

Continuous differentiability implies Lipschitz continuity

A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?

Why are norms continuous? [closed]

Why weren't continuous functions defined as Darboux functions?

Is an integral always continuous?

Proof that a constraints set is closed

How do I prove that a filter converges in a cartesian product?

Prove $\sin x$ is uniformly continuous on $\mathbb R$

Is f(x) = |sinx| + |cos x| differentiable at x = pi/2?

Can a continuous function from the reals to the reals assume each value an even number of times?

Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space

function has global maximum [duplicate]

Why is this combination of nearest-integer functions --- surprisingly --- continuous?

$f,g$ continuous from $X$ to $Y$. if they are agree on a dense set $A$ of $X$ then they agree on $X$

Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?

Proof of "the continuous image of a connected set is connected"