1.

Let f(x)={{:(((e^"[x]"-e^"{x}")e^(-x)+A),"," x lt 0),("2 sin {x}"/"tan {x}",","x gt 0),(2,","x =0):} The value of A so that f is continous at x=0 is ([x] is greatest integer function and {x} is the fractional part of x) is

Answer»

`E^(-1)`
`3-e^(-1)`
`2-e^(-1)`
`2`

ANSWER :B


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