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Calculus I
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Limit Notation and Communication
Grade Level
Calculus I
CAL1.47 Limit Notation and Communication
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A function f is described by: as x approaches 2, f(x) approaches 5. A second student writes “lim_{x→2} f(x) → 5”. Which option shows correct limit notation and the correct meaning?
A
lim_{x→2} f(x) → 5; uses an arrow instead of an equals sign in standard limit notation.
B
lim_{x→2} f(x) = 5; as x approaches 2, f(x) approaches 5.
C
lim_{f(x)→2} x = 5; swaps the roles of x and f(x).
D
f(2) = 5; states only the value at x=2.
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