" 9.Show that "f(x)={[x," if "x!=0],[1," if "x=0]" is continuous at each point except "0" ."

Show that f(x) ={{:( x",",if, xne 0),( 1",", if , x =0):} is continuous at each point except 0.

Show that the function f(x) ={( (sin x)/x, when x !=0),( 2, when x =0):} is continuous at each point except 0.

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

Show that the function f given by f(x)= {{:(x^2+2," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that f(x) = (x)/(1 + e^(1//x)), x ne 0 , f(0) = 0 is continuous at x = 0