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A strategic plan is synonymous with a long-term plan. It typically covers a period of 3 to 10 or more years and outlines the overall direction of the organization. Short-term plans (operational plans) focus on immediate actions, usually within one year.
Correct Answer: A — Long-term plan.
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Evaluate: $\displaystyle\lim_{x\to0}\dfrac{x\cot(4x)}{\sin^2 x\cdot\cot^2(2x)}$
Rewrite using $\cot\theta = \cos\theta/\sin\theta$:
$\dfrac{x\cdot\cos4x/\sin4x}{\sin^2x\cdot\cos^22x/\sin^22x}$
As $x\to0$: $\sin4x\approx4x$, $\sin2x\approx2x$, $\sin x\approx x$, all cosines $\to1$:
$\approx\dfrac{x\cdot\frac{1}{4x}}{x^2\cdot\frac{1}{4x^2}} = \dfrac{\frac{1}{4}}{\frac{1}{4}} = \mathbf{1}$
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