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Value of 'c' of Lagrange's mean theorem ...

Value of 'c' of Lagrange's mean theorem for `f(x) = {:{ (2+x^(3) ,","if xlt 1),(3x,","if x gt 1 ):}` on [-1,2]

A

`+- ( sqrt(5))/( 3)`

B

`+- ( sqrt(3))/( 2)`

C

`+- (sqrt(2))/( 5)`

D

`+- ( 3)/( sqrt(5))`

Text Solution

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The correct Answer is:
A
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