AP Calculus AB : Calculating limits using algebra

Study concepts, example questions & explanations for AP Calculus AB

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Example Questions

Example Question #31 : Limits Of Functions (Including One Sided Limits)

Evaluate .

Possible Answers:

Correct answer:

Explanation:

First, try evaluating the limit at the target value.

This gives us an indeterminate form, so we have to keep trying. Let's factor the polynomials:

We can cancel an , so let's do that.

Now evaluate at the target value.

The limit evaluates to .

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