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JEE Math Practice Question

If 0 < x < 1 and $$y = {1 \over 2}{x^2} + {2 \over 3}{x^3} + {3 \over 4}{x^4} + ....$$, then the value of e1 + y at $$x = {1 \over 2}$$ is :

  1. A.$${1 \over 2}{e^2}$$
  2. B.2e
  3. C.$${1 \over 2}\sqrt e $$
  4. D.2e2

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