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2 cards from this section. Quick, good the night before a test.
Evaluate lim (x + 2) as x approaches 3.
Use direct substitution.
Evaluate lim (x^2) as x approaches 1.
Direct substitution will help.
What does lim f(x) as x approaches a mean?
Think of the output value as x nears a.
True or False: A limit can exist if the left and right values differ.
Consider the condition of approaching from both directions.
Evaluate lim (x^2 - 1)/(x - 1) as x approaches 1 in steps, providing each with brief comments.
What happens when you simplify before substituting?
Prove that lim (tan x)/x as x approaches 0 equals 1 using the Taylor series expansion.
Apply the series expansion technique for more complex limits!
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