If `f(x)={{:(,x^(2)sin((1)/(x)),x ne 0),(,0, x=0):}`, then

If f(x)={{:(,x^(m)sin((1)/(x)),x ne 0),(,0,x=0):} is a continous at x=0, then

If f(x)={{:(x^(2)"sin"(1)/(x)",",x ne0),(k",",x=0):}

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If

Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0. If

If f(x)={(x^(k) sin((1)/(x))",",x ne 0),(0",", x =0):} is continuous at x = 0, then

A function f :R to R is given by f (x) = {{:(x ^(4) (2+ sin ""(1)/(x)), x ne0),(0, x=0):}, then