New posts in real-analysis

Horrible limit envolving floor function

real-analysis limits

If a convex set $S \subseteq R^n$ contains no ray, can you show that it's bounded?

real-analysis general-topology convex-analysis

Series $\sum \frac{\sin(n)}{n} \cdot \left(1+\cdots +\frac{1}{n}\right)$ convergence question

real-analysis sequences-and-series

A question about Measurable function

real-analysis analysis measure-theory lebesgue-integral lebesgue-measure

Real Analysis, Folland Problem 1.3.15 Measures

real-analysis measure-theory

Why doesn't pointwise bounded imply uniform bounded?

real-analysis analysis

Inequalities in $l_p$ norm

real-analysis analysis inequality normed-spaces lp-spaces

For which conditions on countable sets does continuity implies uniform continuity

real-analysis continuity uniform-continuity

Prob. 11, Chap. 4 in Baby Rudin: uniformly continuous extension from a dense subset to the entire space

real-analysis analysis metric-spaces cauchy-sequences uniform-continuity

Part 1: Does the arithmetic mean of sides right triangles to the mean of their hypotenuse converge?

real-analysis sequences-and-series geometry number-theory summation

Can the the radius of convergence increase due to composition of two power series?

calculus real-analysis complex-analysis analysis power-series

$|f(x)-f(y)|\le(x-y)^2$ without gaplessness

real-analysis general-topology inequality metric-spaces

Is a real number the limit of a Cauchy sequence, the sequence itself, a shrinking closed interval of rational numbers, or what?

Example of a set $Y$ that has zero Lebesgue measure and a continuous function $f$ such that $f(Y)$ is not a set of zero Lebesgue measure.

real-analysis measure-theory continuity examples-counterexamples

Find a solution for $f\left(\frac{1}{x}\right)+f(x+1)=x$

calculus real-analysis functional-equations

Is $\cup_{k=1}^\infty (r_k-\frac{1}{k}, r_k+\frac{1}{k}) = \mathbb{R}$?

Can a function $f:\mathbb{R}^2 \rightarrow \mathbb{R}^3$ have a derivative at $a$ with rank $<2$ and still have a tangent plane at $a$?

real-analysis analysis multivariable-calculus derivatives jacobian

Compute the trigonometric integrals

calculus real-analysis definite-integrals

What is the integral of a vector-valued function?

Are strict local minima of a general function always countable?

real-analysis analysis