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` continuous but not differentiable at `x=3` differentiable but not continuous at `x=3` neither differentiable nor continuous at `x=3`

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 (b) differentiable but not continuous at x=3 (d) neither differentiable nor continuous at x=3

If f(x)=|3-x|+[3+x] , where [x] denotes the least integer greater than or equal to x , then f(x) is:(a) 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..

Show that f(x)=|x-3| is continuous but not differentiable at x=3.

Show that f(x)=|x-3| is continuous but not differentiable at x=3.

Show that f(x)=|x-3| is continuous but not differentiable at x=3 .

Show that f(x)=|x-3| is continuous but not differentiable at x=3 .

Show that f(x)=|x-3| is continuous but not differentiable at x=3 .

Show that the function f(x)=x|x| is continuous and differentiable at x = 0

show that f(x) =|x| is continuous but not differentiable at x =0