There are two problems (A and B questions) on each of the 8 cards. Question A is to evaluate a limit analytically and Question B is to prove a limit’s equality.
Half of the cards are 8 questions asking students to find the limits of rational and involving radicals functions as x approaches infinity. The other half of the cards contains limits where x approaches a finite number. Students are to find the limits of rational functions, functions involving radicals and trigonometric functions (some of which use the “special Limits" ( sin x /x, (1 - cos x)/ x^2)) .
The limits in this activity can all be found without L’Hopital’s rule.
The cards can be used as a partner or a group activity or as a review.
There is a student recording sheet included.
Answer keys are provided.
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