2. Find all complex solutions to the equation 2(z + 1)3 = Z3 + (z 7 1)3. Which one is closest to the imaginary unit if? 3. Find the following limits or show they do not exist: (a) limx_,0+ (cos 301/"2 (b) 11mHoo(1 + 5%)\" (sin x) (4+sin(l /x)) (C) limx_)0+ x 4. (a) Evaluate the improper integral 0 1 / dx 0 6" + 6* (b) Does the following integral converge or diverge? / 2+s1nxdx 1 5. (a) Find for which real values of x the following series converges 00 2012 + 1)x'\". 0 Find the sum for all such x