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JEE Math Practice Question

$$\lim \limits_{x \rightarrow 0} \frac{e-(1+2 x)^{\frac{1}{2 x}}}{x}$$ is equal to

  1. A.$$\frac{-2}{e}$$
  2. B.$$e-e^2$$
  3. C.0
  4. D.$$e$$

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