Lorago's user avatar
Lorago's user avatar
Lorago's user avatar
Lorago
  • Member for 3 years, 2 months
  • Last seen this week
  • Lund, Sweden
14 votes

An interesting trigonometric integral

14 votes

Power series question.

12 votes

How many solutions has $x_1 + 2x_2 + 2x_3 = 200$ with non-negative integers?

9 votes

Continuous function satisfying $ f\left(\dfrac{x+t}{2}\right) \le f(x) + f(t)$ inequality must be $0$

8 votes
Accepted

Is the Converse of the Radon-Nikodym Theorem true?

8 votes
Accepted

Inverse a cubic function

8 votes
Accepted

Composing the empty function with itself

7 votes
Accepted

Prove that $\lim\limits_{(x,y) \to (0,0)} \frac{x^2}{\sqrt{x^2 +y^2}} = 0$ without substituting

7 votes
Accepted

How to evaluate a limit that contains an integral?

7 votes
Accepted

Examples of non-constant functions $f(x)$ such that $f(x)=f(\pi+x)=f(\pi-x)$

6 votes
Accepted

Evaluating $\inf\left\{x+\frac{1}{x} : x>0\right\}$ without limits or derivatives

6 votes
Accepted

Integral inequality involving modulus

5 votes
Accepted

Use of the fundamental theorem of calculus

5 votes
Accepted

Stuck while solving $\frac{d}{dx} \int_{x^2}^{x^3} e^{t^2} dt$

5 votes

Functions which are undefined at a point

5 votes

Radius of convergence of $\sum_{n=1}^{\infty}\frac{x^n}{1-x^n}$?

5 votes
Accepted

Set $G=\{C\subset\mathbb{R}^n\}$. Is there a binary operation $\cdot$ such that $(G,\cdot)$ is a group?

5 votes
Accepted

Is it conventional to place a piecewise function directly in front of a sigma function?

5 votes
Accepted

Why is $\int -\frac{1}{\sqrt{1-x^2}} dx = -\arcsin(x) $ and not $ \arccos(x) $

4 votes

Find the maximum difference between the limits of integration

4 votes

Construct a function $ f \in L^1(\mathbb{R},\lambda)$ with $ f \notin L^2([a,b],\lambda)$ for all $a < b$

4 votes
Accepted

Proof verification: Continuous function with specified values on a closed interval

4 votes
Accepted

Finding dual operator - applying Fubinis theorem

4 votes
Accepted

Proof of Bolzano-Weierstrass in $\mathbb{R}^k$

4 votes
Accepted

Find $x$ such that $1-2 x+4 \frac{x^{2}}{2 !}-8 \frac{x^{3}}{3 !}+16 \frac{x^{4}}{4 !}-...=2$.

4 votes
Accepted

$a_1 = 1, a_{n + 1} = 1 + \frac{1}{2}a_n.$ does this sequence converge?

4 votes
Accepted

Is this true "If $f^{'}$ is continuous in $[a,b]$,then $f$ is differentiable in $[a,b]$"

4 votes

Solve the integral $\int\ln(2x)\mathrm{d}x$ through IBP

4 votes

Is there exist a real continuous function f such that $\int_0^x f(t) dt =mf(x)$ for some real constant m?

4 votes
Accepted

Prove that $\lim_{(x,y) \to (0,0)} \frac{xy(x-y)}{x^3 + y^3}$ does not exist

1
2 3 4 5
12