EVALUATING HORIZONTAL AND VERTICAL ASYMPTOTES LIMITS WORKSHEET

Evaluate each limit and then identify any horizontal asymptotes.

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Problem 7 :

Problem 8 :

Answer Key

1) equation of the horizontal asymptote is y = 1/2.

2) equation of the horizontal asymptote is y = 0 which is the x-axis.

3) there is no horizontal asymptote. Slant asymptote will be there.

4) equation of the horizontal asymptote is y = 0 which is the x-axis.

5) there is no horizontal asymptote.

6) the equation of the vertical asymptote is x = 2.

7) the equation of the vertical asymptote is x = 1.

8) equation of the vertical asymptote is x = 3.