" Is "f(x)={[x^(2)sin(1)/(x),x!=0],[0quad ,x=0]" a continuous function? "

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

Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if x=0):} is a continuous function?

A function f(x) is defined as follows f(x)={(sin x)/(x),x!=0 and 2,x=0 is,f(x) continuous at x=0? If not,redefine it so that it become continuous at x=0 .

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Show that the function f(x) given by f(x)={(sin x)/(x)+cos x,x!=0 and 2,x=0 is continuous at x=0

Determine if f defined by : f(x)={{:(x^(2)"sin"1/x", if "xne0),(0", if "x=0):} is a continuous function ?

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