1.

lim_(xto0)|x|/x

Answer»

SOLUTION :L.H.L.`=lim_(xto0-)|x|/x`
`=lim_(hto0)([0-h])/(0-h)=lim_(hto0)h/(-h)=-1`
R.H.L.`=lim_(xto0+)([x])/x=lim_(hto0)([0+h])/(|0+h|)=1`
As `L.H.L.neR.H.L.,`
So the LIMIT does not EXIST.


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