Let f(x)=`{ [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] }` then f(x) is
(A) continuous but non-differentiable at x=0 (B) differentiable at x=0 (C) discontinuous at x=0 (D) 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

Let f(x)={:{(x^nsin.(1)/x,","xne0),(0,","x=0):} , then f(x) is continuous but not differentiable at x = 0, if

Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0. If

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