In the problems below, assume all closed contours are traversed in the positive (i.e. counter-clockwise) direction. 1.) Consider the function 2ez f(R) = f√ √ = R 22 + 3 dz |2|=R where R≥ 0 gives the radius of the circle centered at the origin over which the function is being integrated. Determine the value of the integral for all values of R where it is well-defined. If the integral is likely to diverge for some value of R, explain why.