kill(all)$

van=facebook.com/LearningCalculus$

cbrt(x):=x^(1/3);

f(x):=sqrt(x+7)-3*sqrt(2*x-3);
g(x):=cbrt(x+6)-2*cbrt(3*x-5);

f(x)/g(x);

limit(f(x),x,2);
limit(g(x),x,2);

hp(x):=''(diff(f(x),x)/diff(g(x),x));

hp(2);

limit(hp(x),x,2);