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:(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 the function f(x) =x^2 is continuous and differentiable at x=2.

If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well as differentiable at x=0 continuous but not differentiable at x=0 differentiable but not continuous at x=0 none of these

Show that f(x) = |x-5| is continuous but not differentiable at x = 5 .

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.

If f(x)={1/(1+e^(1//x)),\ \ \ \ x!=0 0,\ \ \ \ \ \ \ \ \ \ \ x=0 , then f(x) is continuous as well as differentiable at x=0 (b) continuous but not differentiable at x=0 (c) differentiable but not continuous at x=0 (d) none of these