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If `f(x)=|2-x|+(2+x)`, where (x)=the least integer greater than or equal to x, themA. `underset(x to 2^(-))lim f(x)=f(2)=2`B. f(x) is continuous and differentiable at x=2C. f(x) is neither continuous nor differentiable at x=2D. f(x) is continuous and non-differentiable at x=2 |
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Answer» Correct Answer - C We know that the |2-x| is everywhere continuous but (2+x) is not continuous at x=2. Therefore , f(x) is not continuous at x=2. Hence f(x) is not differentiable at x=2. |
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