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

Take the limit of each term.
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 limits by plugging in the value for the variable.
Evaluate the limit of which is constant as approaches .
Evaluate the limit of which is constant as approaches .