Evaluate the limit $\lim_{\delta x \to 0} \frac{2 \cos(x) \sin(\delta x / 2)}{\delta x / 2}$ which is related to differentiating $\sin x$ from first principles.

University of Ilorin MTH102 2025A past question

  1. $2\cos x$
  2. $\cos x$
  3. $\sin x$
  4. $2\sin x$

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