The Reciprocal of
Infinite Product
The
reciprocal of the beautiful infinite product of nested radicals 
due
to Vieta in 1592 is decomposed into partial fractions of the infinite series as
shown below.
,
in which
.
The Reciprocal of
Infinite Product
The
reciprocal of the beautiful infinite product of nested radicals due
to Vieta in 1592 is decomposed into partial fractions of the infinite series as
shown below.
,
in which
.