How do you find an asymptotic relation to a given type of function. I was reading a paper by P. Sebah and X. Gourdon , and in that paper they gave the asymptotic relation
also it is mentioned that to get 20 digits, only
are required. I didn't know how get these results. Can someone help me?
Writing 'term by term' we have...
(1)
... and observing (1) You can see that if n tends to infinity the first term remains 1 and all other terms tend to 0...
How good is the approximation for s 'large enough' given by the expression must be verified, if possible, by direct computation...
Kind regards