List questions from real-analysis

Published on 09 Apr 2026 - 23:21

354

Views

Show that $\Phi$ is a contraction with a maximum norm.

Published on 09 Apr 2026 - 23:17

5.8k

Views

Limit of $\sqrt x \sin(1/x)$ where $x$ approaches positive infinity

Published on 09 Apr 2026 - 23:20

408

Views

$\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$

Published on 10 Apr 2026 - 9:36

203

Views

Computing:$\sum_{n=0}^\infty\frac{3^n}{n!(n+3)}$

Published on 10 Apr 2026 - 3:25

113

Views

Positive Integer values of a fraction

Published on 01 Apr 2026 - 3:43

325

Views

Reimann-Stieltjes Integral and Expectation for Discrete Random Variable

Published on 08 Apr 2026 - 23:31

204

Views

Measure of a subset of $[0,1]$

Published on 10 Apr 2026 - 3:19

70

Views

How to I find the Taylor series of $\ln {\frac{|1-x|}{1+x^2}}$?

Published on 09 Apr 2026 - 11:44

3.9k

Views

Proof: reciprocal of sequence converges to reciprocal of limit of sequence. Is it ok to have epsilon multiplying a constant?

Published on 14 Jan 2018 - 17:50

140

Views

Why : $1^{+\infty}$ is not $1 $ however $1^{+\infty}=\lim _{x\to 0+}(\frac{\sin x}{x})^{1/x}=1$?

Published on 01 Apr 2026 - 1:31

347

Views

What is$\lim\limits_{n \rightarrow +\infty} \left(\int_{a}^{b}e^{-nt^2}\text{d}t\right)^{1/n}$?

Published on 10 Apr 2026 - 2:54

501

Views

Inhomogeneous biharmonic equation on $\mathbb{R}^d$

Published on 10 Apr 2026 - 1:14

99

Views

Convergence radius of power series can be derived from root and ratio test.

Published on 08 Apr 2026 - 22:25

5.8k

Views

Prove that $\sup(cA)=c\sup(A)$.

Published on 10 Apr 2026 - 1:09

List Question

Show that $f$ with $f(\overline{x})=0$ is continuous for every $\overline{x}\in[0,1]$.

Show that $\Phi$ is a contraction with a maximum norm.

Limit of $\sqrt x \sin(1/x)$ where $x$ approaches positive infinity

$\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$

Computing:$\sum_{n=0}^\infty\frac{3^n}{n!(n+3)}$

Positive Integer values of a fraction

Reimann-Stieltjes Integral and Expectation for Discrete Random Variable

Measure of a subset of $[0,1]$

How to I find the Taylor series of $\ln {\frac{|1-x|}{1+x^2}}$?

Proof: reciprocal of sequence converges to reciprocal of limit of sequence. Is it ok to have epsilon multiplying a constant?

Why : $1^{+\infty}$ is not $1 $ however $1^{+\infty}=\lim _{x\to 0+}(\frac{\sin x}{x})^{1/x}=1$?

What is$\lim\limits_{n \rightarrow +\infty} \left(\int_{a}^{b}e^{-nt^2}\text{d}t\right)^{1/n}$?

Inhomogeneous biharmonic equation on $\mathbb{R}^d$

Convergence radius of power series can be derived from root and ratio test.

Prove that $\sup(cA)=c\sup(A)$.

Trending Questions

Popular # Hahtags

Popular Questions