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2 cards from this section. Quick, good the night before a test.
Evaluate lim (x^2 - 4)/(x - 2) as x approaches 2.
Check if direct substitution leads to an indeterminate form.
Evaluate lim x/(x^2 - 4) as x approaches 2.
What happens when you substitute 2 into the denominator?
What is an indeterminate form?
Remember the common cases of confusion in limits.
True or False: The limit exists if the left-hand and right-hand limits are equal.
Think about one-sided limits.
Evaluate lim (x^3 - 3x^2 + 4)/(x^2 - x - 2) as x approaches 2 and explain the steps taken.
Look for common factors in the numerator and denominator.
Prove that lim (e^x - 1)/x as x approaches 0 exists and find its value using L'Hôpital's Rule.
Think about how derivatives can clarify ambiguous situations.
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