f(x)={[x^(3)+3," if "x!=0],[1,quad " if "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+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.

Prove that f(x) = x^(3)+3 if x!=0 and 1 if x=0 is not differentiable at x = 0.

2.If f(x)={[x^(3)+3:x!=0, and 1 : x=0 " is discontinuous at : -

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

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is

If f(x) is continuous at x=0 , where f(x)={:{((1+3x)^(1/x)", for " x != 0 ),(k", for " x =0):} , then k=

Show that f(x)= {(x^(3)+3",",x ne0),(1",",x=0):} is a discontinuous function at x= 0.