Move the term outside of the limit because it is constant with respect to .

Divide the numerator and denominator by the highest power of in the denominator, which is .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Split the limit using the Limits Quotient Rule on the limit as approaches .

Evaluate the limit of which is constant as approaches .

Evaluate the limit of which is constant as approaches .

Divide by .

Multiply by .

Evaluate limit as x approaches infinity of (P(x))/(Q(x))