a) Consider the function a1"::ta.::1(:z:2 ), Write a partial sum for the power series which represents this functlon oonsisting of the rst 4 nonzero terms. For example, if the series were 22;, 3""22", you would write 1 + 322 + 3224 + 332:5. Also indicate the radius of convergence. P [1' IS 2 x6 x10 x14 a la urn: _ _ _ _ x 3 -l- 5 + 7 Radius of Convergence: b) Use part a) to write the partial sum for the power series which represents f arctan(z2}d2_ Write the rst 4 nonzero terms, Also indicate the radius of convergence, c) Use part b} to approximate the integral [:5 arctan[a:2)dz_