Home
Class 12
MATHS
The functionf(x)={(x(e^(1/x)-e^(-1/x)))/...

The function`f(x)={(x(e^(1/x)-e^(-1/x)))/(e^(1/x)+e^(-1/x))`, when `x!=0` and `f(x)=0` when `x=0` (1) continuos everywhere but not differentiable at x=o (2) continuouas and differentiable everywhere (3) hot continuous at x=0 (4) differentiable at x=0

Promotional Banner

Similar Questions

Explore conceptually related problems

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)=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 (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

Show that the function f(x)={{:((e^(1//x)-1)/(e^(1//x)+1)", when "x!=0),(0", when "x=0):} is discontinuous at x=0 .

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

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0 at x=0

Show that the function f(x) given by f(x)={(e^(1/x)-1)/(e^(1/x)+1), when x!=00,quad when x=0 is discontinuous at x=0