Let for , and . The constants and are chosen so that is continuous at . What is ?

Answer and explanation

Correct answer: B.

eq 2$, simplify the function: $f(x) = x - 3$.
  1. Step 1: For to exist and be finite, the numerator must be zero at : .
  2. Step 2: Factor the numerator with : . For $x
  3. Step 3: Evaluate the limit: . Continuity requires . Sum the values: .
Answer
.
Why not the others: Other values fail to factor the numerator to cancel the removable singularity , or solve for without finding .

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