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If a function f(x) defined by f(x) ...

If a function f(x) defined by
`f(x) ={{:(ae^(X) + be ^(-x ) , -1le x lt 1),( cx^2 , 1 le x le 3),( ax ^2 + 2cx , 3 lt x le 4):}`
be continuous for some a,b,c `in` R and `f'(0) +F'(2) = e ` then the value of a is :

A

`e/(e^2 - 3e - 13)`

B

`e/(e^2 - 3e + 13)`

C

`(1)/(e^2 - 3e + 13)`

D

`e/(e^2 + 3e + 13)`

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