TeX:
\pi = \lim_{n \to \infty} \frac{{16}^{n}}{n {{2 n \choose n}}^{2}}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
Pi | The constant pi (3.14...) | |
SequenceLimit | Limiting value of sequence | |
Pow | Power | |
Binomial | Binomial coefficient | |
Infinity | Positive infinity |
Source code for this entry:
Entry(ID("e1e106"), Formula(Equal(Pi, SequenceLimit(Div(Pow(16, n), Mul(n, Pow(Binomial(Mul(2, n), n), 2))), For(n, Infinity)))))