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GATE2020-ME-1: 2

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The value of $\displaystyle{}\lim_{x \to \infty}\left ( \dfrac{1 -e^{-c\left ( 1-x \right )}}{1-x\:e^{-c\left ( 1-x \right )}} \right )$ is

  1. $\text{c} \\$
  2. $\text{c + 1} \\$
  3. $\dfrac{c}{c+1} \\$
  4. $\dfrac{c+1}{c}$
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