[" Show that "f(x)={[x sin(1)/(x),x!=0],[0,x=0]],[" is continuous at "x=0]

Show that f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 is continuous at x = 0

Show that f(x)={(x sin frac{1}{x}, xne0),(o,x=0):} is continuous at x=0

Prove that f(x)={(sin x)/(x);x!=0 and 1;x=0. is continuous at x=0

Show that f (x) = f(x) = {(x,sinfrac(1)(x)),(0,x=0):} is continuous at x = 0

Show that the functions f(x) given by f(x)={x(sin1)/(x),quad x!=00,quad x=0 is continuous at x=0

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

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

Show that f(x)={(sin3x)/(tan2x),\ \ \ if\ x 0 is continuous at x=0

Show that the function f(x)={x^(m)sin((1)/(x)),x!=00,quad x=0 is continuous but not differentiable at x=0, if @