Calculus

1:

The interval in which the Lagrange's theorem is applicable for the function f(x) = 1/x is

A.

[-3, 3]

B.

[-2, 2]

C.

[2, 3]

D.

[-1, 1]

 

Answer : C

Explanation :

Since f(x) = (1/x) is not continuous in [- 3, 3] [- 4, 2] or [- 1, 1], The point of discontinuity is '0'. Only in [2, 3] the function is continuous, and differentiable hence mean value theorem is applicable in [2, 3].

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Option: A

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