For every integer n > 2, let yn be a parametrization of the curve shown in the picture below, i.e. Yn is a straight line from-n to n followed by a semicircle from n to -n passing through in. Show that lim 8x12 eArctan |z| -dz z2+1 Yn exists and find its value. Hint: Show that the part on the semicircle converges to zero. Note. You may use any result about the real arctan function and limits of real numbers learned in previous courses and in this course (e-N arguments are not required). -n n