[Maxima-discuss] definite integration of power series

[Barton W. <wi...@un...>]

Are there  option variables that would allow Maxima to termwise integrate an infinite sum? I've tried


    (%i15) integrate(sum(z^k/k!,k,0,inf),z,0,x),intanalysis : false, assume_pos : true;
    defint: integral is divergent.


And


    (%i21) limit(integrate(sum(z^k/k!,k,0,n),z,0,x),n,inf),intanalysis : false, assume_pos : true;
    (%o21) limit(sum(x^(k+1)/((k+1)*k!),k,0,n),n,inf)


There are, of course, obvious workarounds, but  if integrate could be forced into termwise integration, it

would greatly simplify the logic of the powerseries code.


--Barton