On Wed, 8 Sep 2010, Richard Hennessy wrote:
> Yes, it does mean that. limit(expr1,x,a)-limit(expr2,x,a) is not always
> equal to limit(expr1-expr2,x,a);
According to my notes on Erd?lyi (1956, _Asymptotic expansions_, Dover
Publications, New York, pp. 14-15), a linear combination of asymptotic
expansions of two functions is an asymptotic expansion of the same
linear combination of the two functions. The same point appears in my
notes on Hinch (1991, _Perturbation methods_, Cambridge University
Press, Cambridge, p. 22). A limit has to be asymptotic to the thing
it's the limit of, no? How does all this sit together?
--
Thanks,
Dan