New posts in continuity

Why is the change-to-polar-coordinate method valid in computing limits?

When does convergence in range imply convergence of arguments?

Continuous function with local maxima everywhere but no global maxima

prove that a non constant periodic, continuous function has a "smallest period"

Am I correct in my proof that $x^2+x$ is continuous

continuity of $\max \{f_1(x),f_2(x),\cdots,f_m(x) \}$ at $a$

If two continuous maps into a Hausdorff space agree on a dense subset, they are identically equal [duplicate]

$4\cos(x) -x = 0$: There exist at least two solutions [closed]

If $f:X \to X$ is a continuous bijection and every point has finite orbit, is $f^{-1}$ continuous?

Prove that if f is a continuous strictly monotone function defined on an interval, then its inverse is also a continuous function.

Interval of monotonicity of the function $f(x)=\frac{\ln (\pi+x)}{\ln (e+x)}$

Can $\le$ be used insted of < in the definition of continuity?

Strict monotony for a function to be invertible [duplicate]

proving that $f(x) = x^s$ is holder continuous with holder exponent s

How can I prove that a continuous injective function is increasing/decreasing? [duplicate]

If $f: \mathbb{C} \to \mathbb{C}$ is continuous and analytic off $[-1,1]$ then is entire.

Continuity of coordinate functions

Spaces with the property: Uniformly continuous equals continuous

Differentiable vs continuous

Separately continuous functions that are discontinuous at every point