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2 cards from this section. Quick, good the night before a test.
Evaluate lim (x²) as x approaches 3.
Direct substitution will work here.
Use a table to estimate lim (x - 1) as x approaches 1.
Choose values close to 1.
What is a limit?
Remember, it’s about approaching a value, not necessarily reaching it.
What happens when you encounter an indeterminate form?
Look for forms like 0/0 or ∞/∞.
Evaluate the limit lim (sin(x)/x) as x approaches 0 using numerical values around 0.
Consider evaluating with small values like 0.1 and -0.1.
Consider the function f(x) = 1/(x-3). Why does the limit not exist as x approaches 3?
Check the behavior from both sides of the approach.
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