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One-Sided and Two-Sided Limits and Discontinuities
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.182 One-Sided and Two-Sided Limits and Discontinuities
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For f(x) = 1/(x - 5)
2
when x!= 5, which statement describes the behavior at x = 5?
A
Both one-sided limits are +infinity, so no finite two-sided limit exists.
B
The left-hand limit is -infinity and the right-hand limit is +infinity.
C
Both one-sided limits are 0, so the two-sided limit is 0.
D
The two-sided limit is 5 because x approaches 5.
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