1.

lim_(xtosqrt3)[x]

Answer»

SOLUTION :L.H.L.`=lim_(xtosqrt3-)[X]=lim_(hto0)[sqrt3-h]=1`
R.H.L.`=lim_(xtosqrt3+)[x]=lim_(hto0)[sqrt3+h]=1`
Thus L.H.L., R.H.L. both
EXIST and L.H.L.=R.H.L.
So the limit exists and it's value is 1.


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