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Peter Foreman

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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24 Integral from infinity to infinity Jun 25 '19
19 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 '19
16 Fibonacci sequence and other metallic sequences emerged in the form of fractions Jun 14 '19
13 Showing that $ \int_0^\pi \frac{\sin{(kx)}}{\sin(x)} d x = \pi $ for odd integer $k$ Apr 1 '19
12 How to evaluate the limit where something is raised to a power of $x$? Mar 5 '19
11 Is $\{\sin^n{(n)}:n\in\mathbb{N}\}$ dense in $[-1,1]$? Aug 28 '19
10 The limit $\lim_{r\to0}\frac1r\left(1-\binom{n}{r}^{-1}\right)$ Aug 3 '19
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 '19
10 The integral $\int\limits_0^\infty\frac{x^4e^x}{(e^x-1)^2} \mathrm{d}x$ Jul 19 '19
9 How to improve this bound? Apr 6 '19
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