(** * Power series *)
Definition PS_Int (a : nat -> R) (n : nat) : R :=
match n with
| O => 0
| S n => a n / INR (S n)
end.

Lemma is_pseries_RInt (a : nat -> R) :
forall x, Rbar_lt (Rabs x) (CV_radius a)
-> is_pseries (PS_Int a) x (RInt (PSeries a) 0 x).