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If f(x)={((sinx+cosx)^(cosecx),-(pi)/2lt...

If `f(x)={((sinx+cosx)^(cosecx),-(pi)/2ltxlt0),(a,x=0),((e^(1/x)+e^(2/x)+e^(3/x))/(ae^(-2+1/x)+be(-1+3/x)), 0ltxlt(pi)/2):}` is continuous at `x=0` then

A

`[a+b]=3`, where [.] is greatest integer function

B

`{a+b}=e-2`, (where {.} is fractional part function)

C

`b^(2)=1`

D

`a^(2)=1`

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