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Botond's user avatar
Botond's user avatar
Botond
  • Member for 8 years, 8 months
  • Last seen more than a week ago
  • Hungary
40 votes

What is the tangent at a sharp point on a curve?

16 votes

How to evaluate $\underset{x \to 1}{\lim} \frac{x^{2019} - x^{1875}}{x-1}$.

15 votes

Does Euler's formula give $e^{-ix}=\cos(x) -i\sin(x)$?

12 votes
Accepted

Taking a derivative of a magnitude of a vector

11 votes

Fourier transform of the Fourier transform?

10 votes

Where does $\pi^2$ appear spontaneously within Physical Phenomenon and Mathematics Equations?

10 votes

L'Hopital's rule conditions

9 votes

Is it true that if $A^4 = I$, then $A^2 = \pm I$?

9 votes

If $a,b\ge 0$ and $a,b \in \mathbb{R}$, then prove $\frac{a+b}{2}\ge\sqrt{ab}$

8 votes
Accepted

What is the Laplace transform of gamma function?

8 votes

Why doesn't integration by substitution work in this case?

8 votes
Accepted

Why we say $i^2 = -1$ while it is $1$

7 votes
Accepted

Graphing the binomial coefficients: appearances?

7 votes

Perpendicular vector from $(\cos(\theta)x, \sin(\theta)x)$

7 votes

Quick question on an approximation from physics

6 votes
Accepted

True or false: If $f(x)\geq0$ and $\int \limits_{0}^{\infty} f(x)dx$ converges...

6 votes
Accepted

Evaluating $|f(x)-g(x)|$

6 votes
Accepted

Closed form for $\sin(n\arctan(x))$

6 votes

Equivalent Definitions of the Operator Norm

6 votes

What's the deal with this $\frac1\pi$?

5 votes

How do I integrate this equation with respect to $dcos\theta$?

5 votes

Riemann Integrable and Uniform Convergence

5 votes
Accepted

Solve the differential equation $(x + y)\,\mathrm{d}y = (4x + y)\,\mathrm{d}x$

5 votes

Show that $P(0<X<6)>\dfrac{2}{3}$

5 votes
Accepted

Solve $y'' + 3y'+2y = \cos(at)$ by first solving $y'' + 3y'+2y = \delta(t)$

5 votes
Accepted

Showing differentiability of $g(x)=\begin{cases}\frac{f(x)}{x},&\text{$x\neq0$}\\f'(0),&x=0\end{cases}$ given that $f(0)=0$

5 votes

Proving the identity $\frac{1}{1-\cos3x} + \frac{1}{1+\cos3x}=2\csc^2(3x)$

5 votes
Accepted

Proving if $\sum a_n ^2 < \infty$ then $\sum \frac{a_n}{n}$ converges absolutely

5 votes
Accepted

If $\int_a^{+\infty} f(x)dx $ converges, and $\lim_{x\to + \infty} f(x) = L$. Then prove that $L=0$

4 votes
Accepted

Unit vector orthogonal to the derivative

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