Lim (4x^3-3x^2-5)/(6x^3+4x+1) as x--infinity

Question

find the limits.

Answer 1

Given 

Some times evalution produces the form ∞/ ∞.  When this ocurs the limit may be of a rational function as x approaches as infinitely , This can be solved by multiplying  the numerator and denominator by the reciprocal of the highest power of x appearing in the function, together with the special case  .

Soution :

= 2 / 3 .