[" Example "4" Show that the function "f" given by "],[qquad f(x)={[x^(3)+3,," if "x!=0],[1,," if "x=0]]

Show that the function f given by f(x)=x^(3)-3x^(2)+4x,x in R

Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

Show that the function f given by f(x)={x^(3)+3 if x!=0quad 1 if x=0 is not continuous at x=0

Show that the function f given by f(x)={x^3+3ifx!=0 1ifx=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 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(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} is continuous at x = 0