Raffaele's user avatar
Raffaele's user avatar
Raffaele's user avatar
Raffaele
  • Member for 10 years, 10 months
  • Last seen more than 1 year ago
  • Turin, Italy
49 votes

Is every subset of a product a product of subsets?

21 votes

Non-textbook Math book recommendation to read to my kids

18 votes

Is nᵐ>mⁿ if m>n?

10 votes
Accepted

Prove With Three Real Numbers Prove That We Can Pick Two And Their Product is Non Negative

9 votes

Smallest Possible Power

8 votes
Accepted

How to find the limit of series? (What should I know?)

7 votes
Accepted

Integration of $\sin(x)/x$ from $0$ to $1$: exact value

7 votes

Prove using elementary methods: $|\sin(x) - \sin(y)|\le |x-y|$

6 votes

If instead Carl had play replaced every number $x$ by $1 + x$, what would be the sum?

6 votes

Specific sum of a root of $x^{2017} - 2x + 1$

6 votes
Accepted

Simplify $x^{\frac{2}{3}}+3x^{\frac{1}{3}}-2=0$ to $x^2 +45x-8=0$

6 votes
Accepted

Two consecutive numbers are removed from the progression 1, 2, 3..n. The arithmetic mean of the remaining numbers is 105/4. What is the value of n?

5 votes
Accepted

Compute the limit of the sequence $x_n=(2-\sqrt{2})(2-\sqrt[3]{2})...(2-\sqrt[n]{2})$

5 votes

Show that the sequence defined as $x_{n+1}=\sqrt[3]{x_n+x_{n-1}}$ converges

5 votes
Accepted

Unable to solve definite integral if an implicit function

5 votes
Accepted

$\int x^{2}\sqrt{a^{2}+x^{2}}\,dx$. Is there another way to solve it faster?

5 votes

Determine whether the series $\sum\limits_{n=1}^\infty\frac{1}{n^2+5n+6}$ is convergent or divergent. If it is convergent, find its sum.

5 votes
Accepted

substitution in $y' = \cos(y-x)$ equation

5 votes

How can I find the equation of a circle given two points and a tangent line through one of the points?

5 votes
Accepted

3 normals to the parabola

5 votes
Accepted

(1) Sum of two factorials in two ways; (2) Value of $a^{2010}+a^{2010}+1$ given $a^4+a^3+a^2+a+1=0$.

5 votes
Accepted

Three non-overlapping regular polygons of unit edge-length surround a point. What is the maximum perimeter of their union?

5 votes

Solve the cubic polynomial $a^3 - 10a + 5 = 0$

5 votes
Accepted

Proof of $e^x (\ln x+\frac{1}{x})>\ln 8$

5 votes
Accepted

What is the value of $x^2 + y^2 + z^2$ if $x^2 y + y^2 z + z^2 x=2186$ and $xy^2 + y z^2 + z x^2=2188$

5 votes

Find the number of times $5$ will be written while listing integers from $1$ to $1000$

5 votes
Accepted

Mathematical coincidences concerning the numbers $\pi$, $e$ and $163$

5 votes
Accepted

Is the limit of the function $\frac{1}{x^r}$ as $x$ approaches infinity necessarily equal to $0$ if $r$ is irrational?

5 votes
Accepted

Find sum of all positive real numbers $x$ such that $\sqrt[3]{2+x} + \sqrt[3]{2-x}$ becomes an integer.

4 votes

Compute difficult integral $\int \frac{dx}{2 + x + \sqrt{1 - x^2}}$

1
2 3 4 5
49