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Let R be the set of all real numbers and...

Let R be the set of all real numbers and f:`[1,-1]rarrR` be
defined by `f(x)={(xsin(1/x),xne0),(0,x=0):}`

A

a) f satisfies the conditions of Rolle's theorem on `[-1,1]`

B

b) f satisfies the conditions of
Lagrange's Mean Value Theorem on `[-1,1]`

C

c) f satisfies the conditions of Rolle’s theorem on [0,1]

D

d) f satisfies the conditions of
Lagrange's Mean Value Theorem on [0,1]

Text Solution

Verified by Experts

The correct Answer is:
D
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