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

If f(x)={(1)/(1+e^(1/x)),quad x!=00,quad 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

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

If f(x)={x e^(-(1/(|x|)+1/x)),\ x!=0 , 0,\ x=0,\ t h e n\ f(x) is a. Continuous as well as differentiable for all x b. Continuous for all x but not differentiable at x=0 c. Neither differentiable nor continuous at x=0 d. Discontinuous every where

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

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

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

Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):} then f(x) is continuous but not differentiable at x=0 if

If f(x)={xe^-(1/|x|+1/x) , x!=0 ,, 0, x=0 (1) discontinuous everywhere(2) continuous as well as differentiable for all x(3) continuous for all x but not differentiable at x=0(4) neither differentiable nor continuous at x = 0