Find the value of the constant that makes the function continuous at :
$$
Answer and explanation
Correct answer: A.
- Step 1: For to be continuous at , we must have .
- Step 2: Calculate the left-hand limit: .
- Step 3: Calculate the right-hand limit: .
- Step 4: Set them equal and solve for : .
Answer
.
Why not the others: '1' solves ; '2' equates ; '4' equates by adding 1 instead of subtracting.
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