Advanced Calculus fi..

d) n ~[~+...+&-],z~=exp(~),k=lZ-ZIf) 3 + 9z + (-l)n4(-l)m;Answers to Problems 7271 . (8,.... n; el i&-4(z+l)2.+ .. + cn-I -cn-2 + + (-~)"-'co 11 1 5 1 7 1 gog) ~,~-,).7 - r- + nx+6=1 i-z,9 .Bwhere zl , . . . ,z4 are the roots of z4 + z + 1 = 0 and g = (-7z3 + 5z2 + 3z - 13)-';1 -2-i -2+i 2+ih) m[T=T+~+*+z+l+il.7. 2A'/Bn.Section 8.19, page 5901 a ; b) $n; c) 3; 7T7rfi. 2. a) q; b) 9; c) $; d) f.3. a) ine-'; b) -2qne-fisinl; c) !jne-:.licos (!jJr); d) -$nc-'.Section 8.21, page 1600 i : .T7. a) none, b) 2n+nn(n=O,fl ,... ), c) fl.z-19. d) (i)w= (l-2i)z-l, (ii) W= f.Section 8.23, page 6091. a) ,arg-, 1 zi -1 b) $(IT-argz4), c) 1-2 (O