Characteristic function of the rationals equals the double limit of continuous functinos
15330
Double limit of $\cos^{2n}(m! \pi x)$ at rationals and irrationals
75882
Countability of local maxima on continuous real-valued functions
42817
proving $\lim\limits_{n\to\infty} \int_{0}^{1} f(x^n)dx = f(0)$ when f is continous on [0,1]
131992
A problem on continuous functions
124535
continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
47016
Riemann integral of characteristic function of Cantor set
145163
How do I show a function on 2-adic units is continuous?
91736
Explicit homeomorphism between open and closed rational intervals?
43197
Showing that two definitions of $\limsup$ are equivalent
107842
Behaviour of ($\overline{a}_n)_{n=1}^{\infty}$ and ($\underline{a}_n)_{n=1}^{\infty}$
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
115878
Continuous unbounded but integrable functions
71487
Real Analysis: Continuity of a Composition Function
140445
Sequence of continuous functions whose pointwise limit is discontinuous
100899
Coefficients of the characteristic polynomial
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
74245
Characterizing non-constant entire functions with modulus $1$ on the unit circle