Let be a function such that for all . What is ?
Answer and explanation
Correct answer: C.
- Step 1: Apply the Squeeze Theorem (Sandwich Theorem).
- Step 2: Evaluate the limit of the lower bounding function: .
- Step 3: Evaluate the limit of the upper bounding function: .
- Step 4: Since both bounding functions approach as , by the Squeeze Theorem, .
Answer
.
Why not the others: '0' substitutes into only without the constant 3; '6' adds the two bounds together; 'Cannot be determined' overlooks the Squeeze Theorem applicability.
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