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Selecting an Appropriate Limit Strategy
Grade Level
Calculus I
CAL1.42 Selecting an Appropriate Limit Strategy
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Which strategy is most appropriate to determine lim as x → 2 of the piecewise function g(x) = {x² − 4 if x < 2, √(x + 2) if x ≥ 2}?
A
Factor and cancel a common factor
B
Multiply by the conjugate (rationalize)
C
Use a special trig limit (sin u ÷ u → 1)
D
Compute the left‑hand and right‑hand limits from the two formulas
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