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f(x)={{:( a+(Sin[x])/(x)"," , x gt 0),(2...

`f(x)={{:( a+(Sin[x])/(x)"," , x gt 0),(2",",x=0),(b+[(Sinx-x)/(x^(3))]",", x lt 0):}` where [.] denots the greates integer function . If f(x) is continuous at x=0 then b=

A

`a-1`

B

`a+1`

C

`a+2`

D

`a-2`

Text Solution

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The correct Answer is:
A
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