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If f(x)={((sin[x])/([x]), [x]!=0),(0,[x]...

If `f(x)={((sin[x])/([x]), [x]!=0),(0,[x]=0):}`
where [.] denotes the greatest integer less than or equal to x then

A

`lim_(xto0^(-))f(x)=sin1`

B

`lim_(xto0^(+))f(x)=0`

C

limt does not exist at `x=0`

D

limt exists at `x=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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