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If f(x)=|3-x|+(3+x) , where (x) denotes ...

If `f(x)=|3-x|+(3+x)` , where `(x)` denotes the least integer greater than or equal to `x` , then `f(x)` is continuous and differentiable at `x=3` (b) continuous but not differentiable at `x=3` (c) differentiable but not continuous at `x=3` (d) neither differentiable nor continuous at `x=3`

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