Evaluate the limit: .
Answer and explanation
Correct answer: C.
- Step 1: Notice that direct substitution yields the indeterminate form .
- Step 2: Factor the numerator as a difference of squares: .
- Step 3: Cancel the common factor for : .
Answer
.
Why not the others: '4' substitutes directly into without adding 4; '16' squares the limit value 4; 'Does not exist' incorrectly treats a removable discontinuity as an essential divergence.
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