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The value of Lt _ x 0 ( 1+5 x^2 1+3 x^2 )^ 1 x^2 is

Options

  1. Ae ^2
  2. Be
  3. C1 e
  4. D1 e ^2

Correct answer

A. e ^2

Step-by-step solution

Hints: Lim _ x 0 ( 1+5 x^2 1+3 x^2 )^ 1 x^2 = e ^ Lim _ x 0 1 x^2 ( 1+5 x^2 1+3 x^2 -1 ) = e ^ Lim _ x 0 2 x^2 x^2 (1+3 x^2 ) = e ^2

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