Let R be the set of all real numbers and f: [–1, 1] → R be defined by f(x) = \\begin{array}{c}xsin{1/x\end{array},x \neq 0;0,x=0, Then

Correct Answer is : f satisfies the conditions of Lagrange’s Mean Value Theorem on [0, 1]

f satisfies the conditions of Rolle’s theorem on [–1, 1]

f satisfies 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, 1]

WBJEE 2014 Maths Solved Paper

Question : 57 of 80

Marks: +1, -0

Let R be the set of all real numbers and f: [–1, 1] → R be defined by f(x) = {

xsin

x≠0

x=0

, Then

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