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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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  18. Let f: R to R is defined by f(x)= {{:(,alpha+(sin [x])/(x),if x gt 0),...

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