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5 cards from this section. Quick, good the night before a test.
Evaluate: lim_{x→3} (x^2 - 2x + 1)
Evaluate the quadratic function by substitution.
Find: lim_{x→4} (x^2 - 16) / (x - 4)
Factor the numerator first.
What is the definition of a limit?
Think about function behavior.
Can direct substitution always evaluate limits?
Consider the scenarios of finding limits.
Evaluate the following limit: lim_{x→3} (x^3 - 27)/(x - 3) and describe how you resolved it.
Factor the numerator and look for common terms.
Determine lim_{x→0} (sin(x)/x). What does this limit approach as x gets closer to 0?
Use small-angle approximations to analyze the behavior.
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