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Manipal MET2011MathematicsSequences and Series

If S= _ n=0 ^ ( x)^ 2 n (2 n)! , then S is equal to

Options

  1. Ax+x⁻¹
  2. Bx-x⁻¹
  3. C1 2 (x+x⁻¹ )
  4. DNone of these

Correct answer

C. 1 2 (x+x⁻¹ )

Step-by-step solution

Given that, aligned & S= _ n=0 ^ ( x)^ 2 n (2 n)! & = ( e^ x +e^ - x 2 )= x+x⁻¹ 2 aligned

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