JEE Main2005MathematicsSequences and SeriesActual
The sum of the series 1+ 1 4.2 ! + 1 16.4 ! + 1 64.6 ! + ad inf. is
Options
- Ae -1 e
- Be +1 e
- Ce -1 2 e
- De+1 2 e
Correct answer
D. e+1 2 e
Step-by-step solution
e^x+e^ -x 2 =1+ x^2 2 ! + x^4 4 ! + x^6 6 ! + putting x=1 / 2 we get e+1 2 e