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COMEDK2012MathematicsLimits

_ x 0 ( 1+5 x² 1+3 x² )^ 1 x² =

Options

  1. Ae²
  2. Be
  3. C1 e
  4. D5 3

Correct answer

A. e²

Step-by-step solution

_ x 0 ( 1+5 x² 1+3 x² )^ 1 x² = _ x 0 (1+5 x² )^ 1 5 x² 5 (1+3 x² )^ 1 3 x² 3 = e⁵ e³ =e⁵⁻³=e²

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