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ISI2020-MMA: 6

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If $\displaystyle{}\lim_{x \rightarrow 0} \frac{ae^{x} - b \cos x}{x} = 5$, then.

  1. $a$ and $b$ are uniquely determined.

  2. $a$ is uniquely determined, but not $b$.

  3. $b$ is uniquely determined, but not $a$.

  4. neither $a$ nor $b$ is uniquely determined.

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