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3 cards from this section. Quick, good the night before a test.
What is the limit of f(x) = x + 3 as x approaches 4?
Directly substitute x = 4 into the function.
Evaluate lim x→0 (x²).
Think about what happens to x² as x approaches 0.
What does 'lim' represent in mathematics?
Think about the definition of limits.
True or False: A function is continuous at a point if the limit equals the value at that point.
Recall the definition of continuity.
Find lim x→4 (x² - 16)/(x - 4) using any method.
Look for factors that can be canceled.
Prove that lim x→0 (tan(x)/x) = 1 using Taylor series or basic limit properties.
Use L'Hôpital’s rule if stuck.
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