How do you find MacLaurin's Formula for f(x)=sin(2x) and use it to approximate f(12) within 0.01?
1 Answer
Mar 8, 2017
Explanation:
Start from the MacLaurin expansion of
substitute
So for
Using Lagrange's formula for the error we have:
where
Now we have:
so as
and then:
that is:
Thus we have to determine
which is satisfied for
In conclusion we have:
Where