7. Use Taylor's theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the error. (round your answer to three significant figures).
cos(0.4) ~ 1-(((0.4)^2)/(2!))+(((0.4)^4)/(4!))
11. Find the intervals of convergence of f(x), f'(x), f"(x), and integral of f(x) dx. Include the check for convergence at the endpoints of the interval. Enter answer using interval notation.
f(x)= n=1 to infinity of (((-1)^(n+1))(x-3)^(n))/(n3^(n))
a.) f(x)=
b.) f'(x)=
c.) f"(x)=
d.) integral of f(x)dx=
