New posts in real-analysis

Find $\int\frac{x+1}{x^2+x+1}dx$

real-analysis calculus integration analysis indefinite-integrals

How to finish this proof about compact implies bounded

real-analysis metric-spaces

Checking uniform continuity of functions defined on the interval $(0, \infty)$

real-analysis uniform-continuity

Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$

real-analysis abstract-algebra semigroups orthogonal-polynomials chebyshev-polynomials

extreme points of unit ball in a normed space [duplicate]

Proving $t^2 e^{t} - 2 t e^{t} + 2 e^{t} - 2 \geq 0 $

real-analysis inequality

A step function is right continuous with left limits

Proof that if $a_1=1$ and $a_{n+1}=1+\frac{1}{1+a_n}$

real-analysis sequences-and-series recurrence-relations

Stuck at proving whether the sequence is convergent or not

real-analysis sequences-and-series trigonometry convergence-divergence limsup-and-liminf

If $E$ has positive measure, then prove that there exists $h \in \mathbb{R}$ such that $|(E+h) \cap E| > 0$.

real-analysis measure-theory

Compact sets of metric spaces are closed?

real-analysis general-topology analysis

Fat Cantor Set with large complement???

real-analysis measure-theory cantor-set

Evaluate of $\lim_{n\rightarrow \infty}\left(\frac{n+1}{n}\right)^{n^2}\cdot \frac{1}{e^n}$

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

Why the radius of convergence and not "areas of convergence" for power series?

calculus real-analysis power-series

Finding derivative of $\sqrt[3]{\sin(2x)}$ using only definition of derivative

real-analysis calculus derivatives trigonometry

Let $C$ be the Cantor middle set, show that $C+\frac{1}{2}C$ is measurable.

Prove that $f$ has finite number of roots

real-analysis functions roots

Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$

calculus real-analysis functions exponential-function karamata-inequality

Value of operator norm when $\mathcal{T}f(x)=\int^{x}_{0} f(t)dt$

real-analysis functional-analysis operator-theory

Is there a sequence with an uncountable number of accumulation points?

real-analysis sequences-and-series general-topology