Fungrim entry: 088fdb

\operatorname{sinc}\!\left(-i \infty\right) = \lim_{x \to -\infty} \operatorname{sinc}\!\left(i x\right) = \infty

TeX:

\operatorname{sinc}\!\left(-i \infty\right) = \lim_{x \to -\infty} \operatorname{sinc}\!\left(i x\right) = \infty

Definitions:

Fungrim symbol	Notation	Short description
`Sinc`	$\operatorname{sinc}(z)$	Sinc function
`ConstI`	$i$	Imaginary unit
`Infinity`	$\infty$	Positive infinity
`RealLimit`	$\lim_{x \to a} f(x)$	Limiting value, real variable

Source code for this entry:

Entry(ID("088fdb"),
    Formula(Equal(Sinc(Neg(Mul(ConstI, Infinity))), RealLimit(Sinc(Mul(ConstI, x)), For(x, Neg(Infinity))), Infinity)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC