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Pauly B's user avatar
Pauly B's user avatar
Pauly B's user avatar
Pauly B
  • Member for 9 years, 10 months
  • Last seen more than a week ago
25 votes
Accepted

Why does the Gaussian-Jordan elimination work when finding the inverse matrix?

14 votes
Accepted

Finite Summation of Fractional Factorial Series

13 votes

What is the most unusual proof you know that $\sqrt{2}$ is irrational?

12 votes
Accepted

How can we calculate $(x^x)'$

9 votes

Technique for proving four given points to be concyclic?

9 votes
Accepted

$A=\int_\lambda^\infty \frac{x}{\lambda}e^{-x^2/2}dx, B=\int_\lambda^\infty e^{-x^2/2}dx$, calculate $\lim_{\lambda\to \infty}A/B$.

7 votes

Is there a formula for $\sin(xy)$

7 votes

How to show $\sum_{x=0}^{\infty }{\frac{a^{x}}{x!}\; =\; e^{a}}$

7 votes

Calculating $\ln(1+\sqrt3)$

6 votes
Accepted

Prove $\lim\limits_{x\to 0^+} \frac{\ln x}{x} = -\infty$

6 votes
Accepted

Why base of a logrithim function must be greater than one?

5 votes
Accepted

Fundamental Theorem of Calculus Proof

5 votes
Accepted

How to calculate $\int_{C(0,1)}\frac{\sin z}{z^4}dz$

5 votes
Accepted

Area of the intersection of four circles of equal radius

5 votes
Accepted

How can we show that $ \sum_{n=1}^{\infty} \frac{n}{2^n} = 2 $?

4 votes

Evaluating $ \lim_{x\to0} \frac{\tan(2x)}{\sin x}$

4 votes

Evaluate trig function integral

4 votes

Exponential function, multivariable calculus

4 votes
Accepted

Bob starts with \$20. Bob flips a coin. Heads = Win +\$1 Tails = Lose -\$1. Stops if he has \$0 or \$100. Probability he ends up with \$0?

4 votes

How many zeroes are there at the end of $36!^{36!}$?

4 votes

Humorous integration example?

3 votes

Number of ways to get a total of 14 when tossing a die 3 times

3 votes

A unique solution

3 votes

What is the remainder if you divide $2^{804}$ by 257

3 votes

Is it possible to find the product of two numbers given their difference?

3 votes

compute the sum of a series

3 votes
Accepted

Solving a determinant using properties of a determinant

3 votes

Express the polynomial $x^3-4x-4$ as a linear combination of $x-2$, $(x-2)^2$ and $(x-2)^3$

3 votes
Accepted

How to prove $2\arccos(x)+\arccos(1-2x^2)=π$ on $x\in[0,1]$ from MVT

3 votes
Accepted

A student appeared at 3 examinations.....

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