f(x)=(sqrt(4x^4+x^2+1)-(2x^4+3x^2+x)/(x^2+1))
find lim(f(x)+(x^2+x)/(x^2+1)),x->infinity
and lim f(x),x->infinity
lim(f(x)+(x^2+x)/(x^2+1)),x->infinity
lim_(x->infinity) (f(x)+(x^2+x)/(x^2+1))