Let `f(x)=|x|+|x-1|,` then (a)`f(x)` is continuous at `x=0,` as well at `x=1` (b)`f(x)` is continuous at `x=0,` but not at `x=1` (c)`f(x)` is continuous at `x=1,` but not at `x=0` (d)none of these

Let f(x)=|x|+|x-1|, then (a) f(x) is continuous at x=0, as well at x=1( b) f(x) is continuous at x=0, but not x=1(c)f(x) is continuous at x=1, but not at x=0 (d)none of these

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

Let f(x)=[x], where [.] is the greatest integer fraction and g(x)=sin x be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at x=0 (b) f(x) is continuous at x=0, but g(x) is not continuous at x=0. (c) g(x) is continuous at x=0, but f(x) is not continuous at x=0. (d) Both f(x) and g(x) are discontinuous at x=0

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continuous at x=0 (b)is not continuous at x=0 (c)is not continuous at x=0, but can be made continuous at x=0 (d) none of these

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

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0, at x=0 ,f(x)=0 a. is continuous at x=0 b. is not continuous at x=0 c. is not continuous at x=0, but can be made continuous at x=0 (d) none of these

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if

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