(1 point)
a) Consider the function arctan(x²).
Write a partial sum for the power series which represents this function consisting of the first 4 nonzero terms. For example, if the series
were 3", you would write 1+3+3+32. Also indicate the radius of convergence.
Partial Sum: 2
14
Radius of Convergence: 1
b) Use part a) to write the partial sum for the power series which represents farctan(z)dz.
Write the first 4 nonzero terms. Also indicate the radius of convergence.
Partial Sum:-
Radius of Convergence: 1
c) Use part b) to approximate the integral farctan(x²)dz.
0.021256
Note: You can earn partial credit on this problem.