M.P's user avatar
M.P's user avatar
M.P's user avatar
M.P
  • Member for 6 years, 11 months
  • Last seen more than a month ago
  • Turku, Finland
5 votes
Accepted

Number of ways a committee could be formed if Mr $A$ refuses to serve on the committee if Ms $B$ is a member

3 votes

How do I evaluate $\lim _{x\to \infty }\left(x\left(5^{\frac{1}{x}}-1\right)\right)$ without using L'Hopital, and what concept/theory do I use for it?

2 votes

Calculating $\binom{n}{0}+\binom{n}{4}+\binom{n}{8}+\cdots$

2 votes

How many combinations of three colors using one alone, two together, or three together?

2 votes
Accepted

How to know if final equation is a circle (complex plane)

2 votes

Laurent series for $\frac {z-1} {z^4 . (z+1)}$

2 votes

How many ways of moving $6$ wine bottles from the cellar to the fridge?

2 votes
Accepted

Teach me how to transform integrals Trig for $\int _{0}^{\pi }\sin ^{2}\left( \psi \right) \sin \left( m\psi \right) d\psi $

2 votes

$\int_0^\infty0.5e^{-|x|}\,dx$

2 votes
Accepted

$ \sum_{m=0}^\infty {{n+m-1}\choose{m}}(s(1-p))^m p^n = ({\frac{p}{1-s(1-p)}})^n$ if $|s|<(1-p)^{-1}$

2 votes
Accepted

Why is $\sum_{m>n}p(1-p)^{m-1}$ equal to $(1-p)^n \sum_{m>0}p(1-p)^{m-1}$?

2 votes
Accepted

How to find the number of permutations of the letters of the word MATHEMATICS that begin with a consonant

2 votes

How to prove that $1+\frac11(1+\frac12(1+\frac13(...(1+\frac1{n-1}(1+\frac1n))...)))=1+\frac1{1!}+\frac1{2!}+\frac1{3!}+...+\frac1{n!}$?

2 votes

proof problem of combination and summation

1 vote

The values of $g'\left(\pm\frac\pi2\right)$ for $g(x)=\int_{\sin x}^{\sin 2x} \sin^{-1}(t) \,dt$

1 vote

Left coset always equals right coset false proof

1 vote

How to show $\lim_{x \to \sqrt{3}^+}\sqrt{x^{2}-3}=0$

1 vote
Accepted

In how many ways can I put objects from set N={At,Bi...Xy} into K boxes.

1 vote
Accepted

Suppose you have a 10 x 5 grid. How many ways can you get from the lower left-hand corner to the upper right-hand corner?

1 vote

Find the number of solutions of the equation $x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = N$ subject to constraints

1 vote

How to prove that $(\neg q\implies p)\implies(p\implies \neg q)\equiv (\neg p\lor \neg q)$

1 vote

Solving a factorial equation

1 vote

Write $\frac {1} {z ^ 3-iz ^ 2-z + i} $ in series of powers in a neighborhood of zero.

1 vote
Accepted

Prove the representation of complex numbers is parallelogram

1 vote
Accepted

Calculating the limit of a complex function: $\lim_{z \to 0}$ $\frac {\sin(wz)}{\sin(z)}, w \in \mathbb{C} $

1 vote
Accepted

Image of a circle not passing through the center of inversion

1 vote

Evaluate $\lim_{n\to\infty} [{1\over kn}+{1\over k(n+1)}+{1\over k(n+2)}+\cdots+{1\over k(n+p-k)}]$ where $k<p$

1 vote
Accepted

How would I go about computing this finite sum?

1 vote
Accepted

Finding convergence or divergence of a complex series

1 vote

Show $S_3$ is not cyclic and find the subgroups of order $2$