New posts in real-analysis

Proof that square root of 2 exists and is a real number

Proof of a proposition about recursion definition (Terence Tao's Analysis I)

real-analysis recursion

Showing that the closure of a totally bounded set is totally bounded

real-analysis general-topology complex-analysis

Map bounded if composition is bounded

real-analysis functional-analysis banach-spaces

Continuity of $g(\theta) = \frac{1}{2\pi^2\theta^3}-\frac{\pi}{2}\cot(\pi\theta)\csc^2(\pi\theta)$ at $\theta=0$

real-analysis analysis limits continuity

Density of orthogonal matrices with rational coefficients

real-analysis matrices

Obtaining a series that converges to $\frac{\pi}{2\sqrt{2}}$ using Fourier series.

real-analysis sequences-and-series fourier-series

Continuity defined for rational and irrational numbers

real-analysis proof-verification

Is $\sum (n^{\frac{1}{n}}-1)^n$ divergent or convergent?

real-analysis sequences-and-series convergence-divergence

Infinite series of nth root of n factorial

How to solve this integral: $\int_0^\infty x^a e^{-bx}dx$? [duplicate]

real-analysis integration

Prove that for all $n$ $ \{\sqrt{n^2-1}\}=\sqrt{n^2-1}-n+1$ , $ \{\sqrt{n^2-1}\}$ is the fractional part

Verify $\cos{x}<\left(\frac{\sin{x}}{x}\right)^3$ for $0<x<\pi/2$.

real-analysis derivatives inequality contest-math a.m.-g.m.-inequality

Is there a shorthand or symbolic notation for "differentiable" or "continuous"?

calculus real-analysis functions notation

Real sequences which sum to 0, multiply to 1.

Is the product of two monotone sequences monotone?

real-analysis sequences-and-series

(Non)Existence of limits

real-analysis analysis limits functions metric-spaces

Estimating the integral $\sqrt{n}\cdot \int\limits_0^\pi \left( \frac{1 + \cos t}{2} \right)^n dt$

real-analysis sequences-and-series integration

Is an open $n$-ball homeomorphic to $\mathbb{R}^{n}$?

real-analysis general-topology

Can a countable nowhere dense set have uncountably many accumulation points?

real-analysis analysis