could anyone help me out with this? thankx
use taylor approximation theorem to estimate e with error less than 10^-6
Hi
Let . hence for any integer and for all , Taylor's theorem states that
with for some .
As we want to evaluate we choose . can be any real number, let's choose , it'll make things easier. For any integer and for any real number , hence the previous equality becomes
for some .
As we want an error , you have to find such that . Can you take it from here ?