`a_0 f^n(x) + a_1 f^(n-1)(x).g(x) + a_2 f^(n-2) g^2(x) + ......+a_n g^n(x) >= 0`

Evaluate lim_(xrarrc) f(x) where f(x) = a_nx^n+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+.....+a_2x^2+a_1x^1+a_0

f_n(x)=e^(f_(n-1)(x)) for all n in Na n df_0(x)=x ,t h e n d/(dx){f_n(x)} is (a)(f_n(x)d)/(dx){f_(n-1)(x)} (b) f_n(x)f_(n-1)(x) (c)f_n(x)f_(n-1)(x).......f_2(x)dotf_1(x) (d)none of these

Evaluate int[f(x)g^(n)(x)-f^(n)(x)g(x)]dx