1.

Let R be the set of all real number and f: [-1,1] to R is difined by f (x) = {{:( x sin "" (1)/( x ) "," , x ne 0 ), ( 0"," , x =0 ) :}. Then

Answer»

f satisfgies the conditions of ROLLE's theorem on `[-1,1]`
f satifsies the conditions of Lagrange's Mean VALUE Theorem on `[-1,1]`
f satisfies the conditions of Rolle's theorem on `[0,1]`
f satisfies the conditions of Lagrange's Mean Value Theorem on `[0,]`

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