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If [x] denotes the greatest integer not exceeding x and if the function f defined by `f (x) = {:{ ((a +2 cos x)/(x^(2)),x lt 0), ( btan "" pi/(x +4), x ge 0):}` is continuous at x = 0, then the ordered pair (a,b) is equal to

A

`(-2,1)`

B

`(-2,-1)`

C

`(-1, sqrt3)`

D

`(-2, -sqrt3)`

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The correct Answer is:
B
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