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

Let f:R rarr R be defined by f(x)={x+2x^(2)sin((1)/(x)) for x!=0,0 for x=0 then

Discuss the differentiability of f(x)={x^2sin(1/x),\ \ \ \ x!=0 ; 0 if x=0 at x=0

f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if "x!=0),(0" , if "x=0):} is continuous at x =0

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

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