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Reasoning About Existence Without Exact Values
Grade Level
Calculus I
CAL1.48 Reasoning About Existence Without Exact Values
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For f(x) = 4 + (x - 1)/|x - 1| near x = 1, the left side approaches 3 and the right side approaches 5. What is the correct conclusion?
A
The limit exists because both one-sided values are close to 4.
B
The limit does not exist because the one-sided limits are different.
C
The limit exists because absolute value makes the denominator positive.
D
The limit does not exist because f(1) equals 4.
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