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AP EAMCET2004MathematicsSequences and Series

The value of the series x _e a+ x^3 3 ! ( _e a )^3+ x^5 5 ! ( _e a )^5+ is

Options

  1. Ah (x _e a )
  2. Bh (x _e a )
  3. Ch (x _e a )
  4. Dh (x _e a )

Correct answer

C. h (x _e a )

Step-by-step solution

We have a series aligned & x _e a+ x^3 3 ! ( _e a )^3+ x^5 5 ! ( _e a )^5+ &= e^ x _e a -e^ -x _e a 2 & [ e^x-e^ -x 2 =x+ x^3 3 ! + x^5 5 ! + ] &= h (x _e a ) aligned

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