New posts in real-analysis

Chain rule for second derivative

real-analysis analysis multivariable-calculus

$ \lim x^2 = a^2$ as $x$ goes to $a$

calculus real-analysis proof-verification epsilon-delta

Speed of convergence of a Riemann sum

real-analysis analysis integration riemann-sum

Metric space and continuity

real-analysis convergence-divergence metric-spaces continuity

Convergence of $\sum\limits_{n=1}^{\infty}{{n!n^{-p}}\over{q(q+1)...(q+n)}}$

real-analysis calculus sequences-and-series

Proving a series of a subsequence converges

real-analysis sequences-and-series convergence-divergence

Proving that a uniformly cauchy sequence of functions $f_n:\mathbb{R}\to\mathbb{R}$ is uniformly convergent.

Computing $\lim_{\epsilon \rightarrow 0} \int_0^\infty \frac{\sin x}{x} \arctan{\frac{x}{\epsilon}}dx$

real-analysis improper-integrals

Example of differentiable function which has non-zero quadratic variation

calculus real-analysis analysis

If $|x|<\epsilon, \forall \epsilon > 0$, then $x=0$

real-analysis epsilon-delta

Showing that the "left-hand limit function" is left continuous

real-analysis analysis limits proof-writing

When $\delta$ decreases should $\epsilon$ decrease? (In the definition of a limit when x approaches $a$ should $f(x)$ approach its limit $L$? )

calculus real-analysis proof-verification fake-proofs

Proving every bounded infinite set has a limit point without using Bolzano-Weierstrass

compact set always contains its supremum and infimum

real-analysis analysis compactness supremum-and-infimum

Asymptotics of inverse of normal CDF

real-analysis statistics probability-distributions asymptotics normal-distribution

supremum, infimum, max and min - assistance understanding the difference

real-analysis elementary-set-theory supremum-and-infimum

Proof that $L^{p}$ is complete in Folland's Real Analysis

real-analysis functional-analysis lp-spaces

How to find a real solution

The distance function on a metric space

real-analysis general-topology metric-spaces uniform-continuity

Is it possible to prove reflexive, symmetric and transitive properties of equality and the transitive property of inequality?

real-analysis proof-verification axioms