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The sum of series 1 2 ! + 1 4 ! + 1 6 ! + is

Options

  1. A( e ^2-1 ) 2
  2. B(e-1)^2 2 e
  3. C( e ^2-1 ) 2 e
  4. D(e^2-2 ) e

Correct answer

B. (e-1)^2 2 e

Step-by-step solution

e ^ + e ^ - 2 =1+ ^2 2 ! + ^4 4 ! + ^6 6 ! + e ^ + e ^ - 2 -1= ^2 2 ! + ^4 4 ! + ^6 6 ! + put =1 , we get ( e -1)^2 2 e = 1 2 ! + 1 4 ! + 1 6 ! +

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