("lim")(xvec1)1/(sqrt(|x|-{-x}))(w h e r...

`("lim")_(xvec1)1/(sqrt(|x|-{-x}))(w h e r e{x}` denotes the fractional part of `(x)` is equal to does not exist (b) 1 `oo` (d) `1/2`

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Verified by Experts

The correct Answer is:

L.H.L.`=underset(xto-1^(-))lim(1)/(sqrt(|x|-{-x}))=underset(xto-1^(-))lim(1)/(sqrt(-x-(x+2)))`
`=underset(xto-1^(-))lim(1)/(sqrt(-2x-2))=oo`
R.H.L.`=underset(xto-1^(+))lim(1)/(sqrt(|x|-{-x}))=underset(xto-1^(-))lim(1)/(sqrt(-x-(x+1)))`
`=underset(xto-1^(-))lim(1)/(sqrt(-2x-1))=1`
Hence, the limit does not exist.

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