f(x)={[x*sin(1)/(x),quad x>=0],[0]

Discuss the continuity of f(x)={x^(2)sin((1)/(x)),quad x!=0quad 0,quad x= at x=0

Prove that f(x)={x sin((1)/(x)),x!=0,0,x=0 is not differentiable at x=0

If f(x)={x sin((1)/(x)) for x!=0,0 for x=0. Then

Let f,g:R rarr R be two function diffinite f(x)={x sin((1)/(x)),x!=0; and 0,x=0 and g(x)=xf(x)

Show that the function f(x)={x^(m)sin((1)/(x))0,x!=0,x=0 is differentiable at x=0 if m>1 continuous but not differentiable at x=0, if 0.

g(x)=xf(x) , where f(x)=x"sin"(1)/(x),x!=0=0,x=0 . At x=0 :

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 set of all points of differentiability of the function f(x)={(x^2 sin (1/x), x!=0), (0,x=0):} is

The set of all points of differentiability of the function f(x)={(x^2 sin (1/x), x!=0), (0,x=0):} is

If f(x)=x sin((1)/(x)),x!=0 and f(x)=0,x=0 then show that f'(0) does not exist