The function `f(x)=e^(|x|)` is (a) Continuous everywhere but not differentiable at `x = 0` (b) Continuous and differentiable everywhere (c) Not continuous at `x = 0` (d) None of the above

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

The function f(x)=1+|cosx| is (a) continuous no where (b) continuous everywhere (c) not differentiable at x=0 (d) not differentiable at x=npi,\ \ n in Z

The function f(x)=1+|cos x| is (a) continuous no where ( b ) continuous everywhere (c) not differentiable at x=0 (d) not differentiable at x=n pi,n in Z

Leg f(x)=|x|,g(x)=sin xa n dh(x)=g(x)f(g(x)) then h(x) is continuous but not differentiable at x=0 h(x) is continuous and differentiable everywhere h(x) is continuous everywhere and differentiable only at x=0 all 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)={(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

The function f(x)=[(sqrt(x))/(1+x)] ; (where [ ] denotes the greatest integer function) is (A) Continuous but non-differentiable for x>0 (B) Continuous and differentiable for x>=0 (C) Discontinuous exactly at two points for x>=0 (D) Non-differentiable exactly at one point for x>0

The function f(x)=sin^(-1)(cosx) is (a) discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

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