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NTA Abhyas JEE Main2020MathematicsDefinite IntegrationPractice

The value of l i m n → ∞ ∑ r = 1 n 2 r n 2 e r 2 n 2 is equal to

Options

  1. Ae
  2. B2 e
  3. Ce – 2
  4. De – 1

Correct answer

D. e – 1

Step-by-step solution

l i m n → ∞ ∑ r = 1 n 2 r n e r 2 n 2 1 n = ∫ 0 1 2 x e x 2 d x = e x 2 0 1 = e - 1

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