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Pauly B's user avatar
Pauly B's user avatar
Pauly B
  • Member for 9 years, 9 months
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70 votes
1 answer
2k views

Evaluating sums and integrals using Taylor's Theorem

29 votes
2 answers
544 views

Generalisation of $(n+3)^2-(n+2)^2-(n+1)^2+n^2=4$

7 votes
1 answer
410 views

Is this a valid proof of $\lim _{n\rightarrow \infty }(1+\frac{z}{n})^n=e^z$?

5 votes
3 answers
538 views

Closed form of a sum of binomial coefficients?

4 votes
1 answer
169 views

Is this another version of the gamma function?

4 votes
2 answers
147 views

Roots of $z^r=1,r\notin\mathbb{Q}$

3 votes
0 answers
2k views

Shortest system of roads between 4 cities

3 votes
1 answer
683 views

Sum of Distances between Points on a Regular $n$-gon

3 votes
0 answers
136 views

Evaluating $\sum\limits_{k=0}^n\cos(kx)$ and $\sum\limits_{k=0}^n\sin(kx)$ without Complex Numbers [duplicate]

2 votes
1 answer
815 views

$n$th derivative of $f(x)$ using limit definition

1 vote
1 answer
111 views

Parabolic asymptote of $n\cot\frac\pi{2n}$

1 vote
1 answer
65 views

Inverse of an operator on two functions

1 vote
1 answer
83 views

3D Extension of a Fun Geometric Series Puzzle

1 vote
1 answer
833 views

Expected Number of Drinks in 'Ride the Bus' drinking game

0 votes
0 answers
113 views

Root-finding algorithm for shifted Signum function

0 votes
0 answers
148 views

Relationship between $\sum\limits_{n=0}^\infty \frac{a_n x^n}{n!}$ and $\sum\limits_{n=0}^\infty \frac{a_n^2 x^n}{n!}$