The three examples above give us some timesaving rules for taking the limit as x x approaches infinity for rational functions: If the degree of the numerator is less than the degree

Solve NowStep 1: Place the limit value in the function. lim x → 3 − ( x 2 − 3 x + 4 5 − 3 x) = ( 3 2 − 3 ( 3) + 4) ( 5 − 3 ( 3)) Step 2: Solve the equation further. = ( 9 − 9 + 4) ( 5 − 9) = ( 0 + 4) ( − 4) = 4 − 4 = − 1.

Popular Problems. Calculus. Evaluate the Limit limit as x approaches 0 of f (x) lim x→0 f (x) lim x → 0 f ( x) Evaluate the limit of f (x) f ( x) by plugging in 0 0 for x x.