Lim x->∞ (7x^2 - 3x + 2) / (3x^2 + 8)

Question

Evaluate (solve) the following limit?

Answer 1

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  .

         

        

Now Substitute to get the limit