The type(x, extended_numeric) function returns true if x is of type numeric or real_infinity or is one of undefined, Float(undefined), or HFloat(undefined).

Note:  infinity and undefined are of type extended_numeric but not of type numeric.

type/extended_rational, type/float, type/numeric, type/real_infinity

type/algebraic, type/atomic

$\mathrm{type}\left(1\,\mathrm{extended\_numeric}\right)$

$\mathrm{true}$

$\mathrm{type}\left(\frac{1}{2}\,\mathrm{extended\_numeric}\right)$

$\mathrm{true}$

$\mathrm{type}\left(1.5\,\mathrm{extended\_numeric}\right)$

$\mathrm{true}$

$\mathrm{type}\left(\mathrm{Name}\,\mathrm{extended\_numeric}\right)$

$\mathrm{false}$

$\mathrm{type}\left(\frac{a}{b}\,\mathrm{extended\_numeric}\right)$

$\mathrm{false}$

$\mathrm{type}\left(\mathrm{\infty }\,\mathrm{extended\_numeric}\right)$

$\mathrm{true}$

$\mathrm{type}\left(Float\left(\mathrm{undefined}\right)\,\mathrm{numeric}\right)$

$\mathrm{false}$

$\mathrm{type}\left(Float\left(\mathrm{undefined}\right)\,\mathrm{extended\_numeric}\right)$

$\mathrm{true}$