New posts in real-analysis

$\lim_{n\to\infty} \frac{1}{\log(n)}\sum _{k=1}^n \frac{\cos (\sin (2 \pi \log (k)))}{k}$

calculus real-analysis sequences-and-series limits

Difficult Intermediate Value Theorem Problem- two roots

Lipschitz space-filling maps

real-analysis geometric-measure-theory lipschitz-functions

Ternary representation of Cantor set

real-analysis cantor-set

Is the following set closed in $\ell_{p}$ for $1\le p$?

real-analysis functional-analysis

Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$

Improper integral of $\frac{x}{e^{x}+1}$

calculus real-analysis statistics

Show $ f(x) = \sum_{n=1}^{\infty} \frac{nx}{n^3 + x^3}$ ,$\ g(x) = \sum_{n=1}^{\infty} \frac{x^4n}{(n^3 + x^3)^2}$ are bounded on $[0, \infty)$.

real-analysis sequences-and-series

Equation with limit

real-analysis limits

Must compact bijections be continuous?

real-analysis general-topology continuity metric-spaces compactness

Undergraduate math competition problem: find $\lim \limits_{n \to \infty} \int \limits^{2006}_{1385}f(nx)\, \mathrm dx$ [closed]

Ways of showing $\sum_\limits{n=1}^{\infty}\ln(1+1/n)$ to be divergent

real-analysis calculus sequences-and-series convergence-divergence logarithms

$(X, d)$ be an infinite compact metric space. Then there exists no function $f : X → X,$ satisfying $d(f(x), f(y)) > d(x, y)$ for all $x \neq y.$ [duplicate]

real-analysis general-topology functional-analysis

Fourier coefficients of smooth functions behave like Schwartz functions? [duplicate]

real-analysis fourier-analysis fourier-series smooth-functions schwartz-space

Contiuous function on a closed bounded interval is uniformly continuous. Don't understand the proof.

If $f(x)=0 \implies f'(x)>0$, is the zero set of $f$ a single point?

real-analysis derivatives roots

evil derivative

real-analysis distribution-theory weak-derivatives

Reference: solved problems and exercises on PDEs

real-analysis ordinary-differential-equations reference-request partial-differential-equations soft-question

When ODE tells more than the explicit solution.

real-analysis ordinary-differential-equations numerical-methods

Compute $\sum\limits_{n=1}^\infty\frac{1}{(n(n+1))^p}$ where $p\geq 1$

real-analysis sequences-and-series