(5) Find Maclaurin series of the function f (x) = sinh x by the definition. Verify your answer using the series for et. (6) Compute Maclaurin series of these functions using the known series. Indicate radii of convergence. (a) f(x) = arctan(25) (b) f(20) = V4+ 2 2 In the second function, you may need to factor out the 4 from inside the square root. (7) Represent the integrals as power series: (a) arctan(2 ) da ( b ) coS E 1 dx. (8) Compute the limit using power series: lim Vitx-2-2/2 x+0 (9) Use multiplication of power series to find the first three nonzero terms of the Maclaurin series of the product: f(x) = e-2 COS X