What is ?

Answer and explanation

Correct answer: A. , a standard limit used to differentiate

  1. Step 1: Both numerator and denominator tend to , so direct substitution is not possible. Step 2. The fundamental trigonometric limit states that the ratio tends to (it can be proved by a geometric comparison of areas). **Answer: . Why not the others:** a zero numerator alone does not give zero when the denominator is also zero, the ratio stays bounded, and excluding does not stop a limit from existing.

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