1.

If f(x)={((sin([x]+x))/([x]+x),x!=0),(1,x=0):} when [.] denotes the greatest integer function, then:

Answer»

`lim_(xto0)(f(x)=SIN1`
`lim_(xto0)f(x)=1`
`lim_(xto0)f(x)` does not EXIST
`lim_(xto0)f(x)` EXISTS but `f(x)` is not CONTINUOUS at x=0

Answer :C


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