kill(all)$

van=facebook.com/LearningCalculus$

x:1/2+1/sqrt(12)*%i;

x^10*%i +1/(9*sqrt(3))*x^5 -1/243*%i;

fullratsimp(%);

kill(all)$

limit(sin(a*x+1)/a^(x+1/a)-8,x,0);

solve(%,a);