the Value of a slowly converging Series. igg 
14. It may not be improper to remark, that this degree of 
accuracy is much greater than is requisite, even in astronomy; 
for which, as well as for most other purposes, six or seven 
places of figures are sufficient: and, to that degree of exactness 
the value of the proposed series might have been obtained, by 
less than a fourth part of the labour that has been taken above. 
But it was my intention to show, that the value of a very slowly 
converging series, of which all the terms are affirmative, may, 
by the method now described, be computed to ten or twelve 
places of figures, in the space of a few hours. 
