real analysis related queries in MathXchanger | QueryXchanger

Measure of $C^1$ path in $\mathbb{R}^2$

real-analysis multivariable-calculus proof-verification
Updated December 10, 2018 09:20 AM

If $x_1=\sqrt 2$ and $x_{n+1}=(\sqrt2)^{x_n}$ then sequence $x_n$ converges to 2.

real-analysis sequences-and-series
Updated December 10, 2018 08:20 AM

Show third differentiation at point 0 less than 2

real-analysis
Updated December 10, 2018 08:20 AM

Differential equation with "backwards product rule".

real-analysis calculus differential-equations reference-request soft-question
Updated December 10, 2018 08:20 AM

What about the solutions of $z^{1/3} +1 = 0$?

complex-analysis complex-numbers multivalued-functions
Updated December 10, 2018 08:20 AM

Twice diffrentiable function $f: \mathbb R \to \mathbb R$ such that $f''(x)+e^xf(x)=0, \forall x \in \mathbb R$

real-analysis derivatives continuity
Updated December 10, 2018 08:20 AM

The limit of arithmetric mean of a properly divergent sequence

real-analysis
Updated December 10, 2018 07:20 AM

For each interval $[a,b]$ contained in $I$, sequence $\{f_{n}:[a,b]\rightarrow\mathbb{R}\}$ converges uniformly to $f : [a,b] \rightarrow\mathbb{R}$

real-analysis sequences-and-series functions convergence
Updated December 10, 2018 07:20 AM

How to imply the vanishing gradient condition in KKT?

real-analysis optimization convex-optimization karush-kuhn-tucker
Updated December 10, 2018 07:20 AM

Prove that $\sum_{n=1}^∞\frac{\left(\ln n\right)^3}{n^3}$ is a convergent series by using comparison test

real-analysis calculus sequences-and-series convergence
Updated December 10, 2018 07:20 AM

Understanding the solution key to a problem which shows that the integral of a sum equals a given value.

real-analysis calculus limits convergence uniform-convergence
Updated December 10, 2018 07:20 AM

A is compact and closed then prove ...

real-analysis compactness closed-form
Updated December 10, 2018 06:20 AM

Proving the rationals are dense in R

real-analysis rational-numbers
Updated December 10, 2018 06:20 AM

Laurent Series in powers of $z$ and $\frac{1}{z}$

complex-analysis laurent-series
Updated December 10, 2018 06:20 AM

Usage of Lagrange Multipliers in multivariable calculus

multivariable-calculus optimization vector-analysis lagrange-multiplier
Updated December 10, 2018 05:20 AM

show that c is a unique fixed point for f over the whole real line R

real-analysis
Updated December 10, 2018 05:20 AM

Formula for analytic functions?

real-analysis sequences-and-series combinatorics
Updated December 10, 2018 05:20 AM

Existence of polynomial p such that $|f(x) − p(x^2)| < \epsilon$

real-analysis calculus polynomials power-series taylor-expansion
Updated December 10, 2018 05:20 AM

Finding a limit involving roots without derivatives

real-analysis calculus limits limits-without-lhopital
Updated December 10, 2018 04:20 AM

Limit of integrable functions is integrable?

real-analysis lebesgue-integral
Updated December 10, 2018 04:20 AM

Prove that $T$ is a linear operator

real-analysis functional-analysis
Updated December 10, 2018 04:20 AM

Decidability of a relation on Functional space!

analysis logic computability decidability domain-theory
Updated December 10, 2018 03:20 AM

prove the metric d on $\mathbb{R}^2$ defined by $d((x_1,x_2),(y_1,y_2))=\sqrt{(x_1-x_2)^2+(y_1-y_2)^4}$ satisfy the triangle inequality

real-analysis
Updated December 10, 2018 03:20 AM

absolutely convergence of double limit series

real-analysis limits convergence
Updated December 10, 2018 02:20 AM

Complex functions and residues

complex-analysis
Updated December 10, 2018 02:20 AM

Any countable set has measurable zero

real-analysis general-topology elementary-set-theory
Updated December 10, 2018 02:20 AM

Proving the sequence $f_{n} = \sqrt{x^{2} + 1/n}$ converges uniformly to $f(x) = |x|$ on $(-1, 1)$.

real-analysis sequences-and-series convergence uniform-convergence
Updated December 10, 2018 02:20 AM

Normed linear space..

real-analysis proof-verification
Updated December 10, 2018 02:20 AM

Factorial Limit

limits analysis
Updated December 10, 2018 02:20 AM

proving a specific inequality

integration complex-analysis inequality integral-inequality
Updated December 10, 2018 00:20 AM

Convergence of a series involving cosine

real-analysis sequences-and-series convergence
Updated December 10, 2018 00:20 AM

Alternating harmonic series that converges to infinity

real-analysis sequences-and-series
Updated December 09, 2018 22:20 PM

Showing that $\lim_{n \rightarrow \infty} \sum_{k=1}^{\infty}k^{1/2} n^{-1} (1 - \cos(n^2 k^{-2}))=\infty$

real-analysis sequences-and-series
Updated December 09, 2018 22:20 PM

Normed linear space

real-analysis proof-verification
Updated December 09, 2018 22:20 PM

Showing that an injective Darboux function is strictly monotone.

real-analysis calculus
Updated December 09, 2018 21:20 PM

Show that $f''(x)=0$ for some $x>0$

real-analysis
Updated December 09, 2018 21:20 PM

Quick and painless definition of the set of real numbers

real-numbers
Updated December 09, 2018 21:20 PM

Prove the series (cosine function) is greater than zero from x in [0, pi/2)

real-analysis sequences-and-series trigonometry proof-writing taylor-expansion
Updated December 09, 2018 20:20 PM

Integration with Spectral Measure

functional-analysis operator-theory spectral-theory
Updated December 09, 2018 20:20 PM

Different way of writing the derivative

real-analysis derivatives
Updated December 09, 2018 20:20 PM

Proof that $\tan(x)\leq{}x-\frac{\pi}{4}+\tan(\frac{\pi}{4})$ using the Mean Value Theorem

real-analysis calculus analysis proof-writing
Updated December 09, 2018 20:20 PM

Show that $f$ is convex

real-analysis
Updated December 09, 2018 20:20 PM

Show that $|y-y_0|<\text{min}(\frac{|y_0|}{2},\frac{\epsilon|y_0|^2}{2}) \implies \left\vert \frac{1}{y}-\frac{1}{y_0} \right\vert < \epsilon. $

real-analysis calculus inequality
Updated December 09, 2018 20:20 PM

Show that the open interval (a, b) is Lebesgue measurable

analysis measure-theory lebesgue-measure
Updated December 09, 2018 20:20 PM

How to prove that $A B A^* \leq \|B\| A A^*$ for operators A,B?

functional-analysis operator-theory operator-algebras c-star-algebras functional-inequalities
Updated December 09, 2018 20:20 PM

D- Derivative Chain Rule

real-analysis derivatives chain-rule
Updated December 09, 2018 19:20 PM

The set of points $p$ such that $|p-p_0|>r$ is open, for any $p_0$ and any $r \ge 0$.

real-analysis
Updated December 09, 2018 19:20 PM

Showing that the ratio of two standard independent normals is a Cauchy using Characteristic Functions

real-analysis probability probability-theory statistics characteristic-functions
Updated December 09, 2018 19:20 PM

Find the $\lim_{n\to\infty}n^{2} \int_{0}^{1} \frac{1}{(1+x^{2})^{n}} \, dx$.

real-analysis calculus sequences-and-series limits
Updated December 09, 2018 19:20 PM

Prove set is open given continuous function