JEE Main 2014 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2014

Let be a function such that , for all . Then, at x = 0, f is

Answer: (3)

Solution

Putting x = 0 gives , so . Since , f is continuous at 0. Moreover \frac${f(x)

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Question ID VK-104694