AP Calculus ABmediummcq1 pt
Let f(x) = 5/(x - 1)^2. What is the limit of f(x) as x approaches 1?
A.+∞: the outputs grow without bound
B.Does not exist because the one-sided limits differ
C.0
D.-∞: the outputs fall without bound
Explanation
Core Concept
For x ≠ 1 the denominator (x - 1)^2 is positive, so f(x) is positive on both sides of 1. As x approaches 1 from either direction the denominator shrinks toward 0 while the numerator stays 5, so the fraction grows without bound on both sides. Both one-sided limits equal ∞, so the two-sided limit is ∞.
Correct Answer
A+∞: the outputs grow without bound
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