Mathematics
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Peter Foreman
  • Member for 3 years, 4 months
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About

Currently studying Mathematics at the University of St Andrews. I am mainly interested in Sequences and Series. In particular, the evaluation of closed forms of Generating functions and the study of series in order to approximate the behaviour of non-elementary functions.

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All Questions Answers
Score Newest
answer
27
Integral from infinity to infinity
Jun 25, 2019
question
21
A closed form for the sum $\frac{a}{b}+\frac{a\cdot(a+1)}{b\cdot(b+1)}+\frac{a\cdot(a+1)\cdot(a+2)}{b\cdot(b+1)\cdot(b+2)}+\cdots$
Aug 3, 2019
answer
16
Fibonacci sequence and other metallic sequences emerged in the form of fractions
Jun 14, 2019
answer
13
Showing that $ \int_0^\pi \frac{\sin{(kx)}}{\sin(x)} d x = \pi $ for odd integer $k$
Apr 1, 2019
answer
12
How to evaluate the limit where something is raised to a power of $x$?
Mar 5, 2019
question
11
The limit $\lim_{r\to0}\frac1r\left(1-\binom{n}{r}^{-1}\right)$
Aug 3, 2019
question
11
Is $\{\sin^n{(n)}:n\in\mathbb{N}\}$ dense in $[-1,1]$?
Aug 28, 2019
answer
10
How to improve this bound?
Apr 6, 2019
answer
10
$A=\frac{1}{1}+\frac{1}{10}+\frac{1}{11}+\dots+\frac{1}{19}+\frac{1}{21}+\frac{1}{31}+\dots+\frac{1}{91}+\frac{1}{100}+\frac{1}{101}+\dots$
Jul 6, 2019
answer
10
The integral $\int\limits_0^\infty\frac{x^4e^x}{(e^x-1)^2} \mathrm{d}x$
Jul 19, 2019

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