Let f, g : R R be two functions defined by f(x) = cases x ( 1x ), & x 0 0, & x = 0 cases and g(x) = xf(x)....

Question

Let f, g : R R be two functions defined by f(x) = cases x ( 1x ), & x 0 0, & x = 0 cases and g(x) = xf(x). Statement I: f is a continuous function at x = 0. Statement II: g is a differentiable function at x = 0.

Accepted Answer

(2)

JEE Main 2014 Mathematics question

Solution

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