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[" The function f given by "],[f(x)={[x^...

[" The function f given by "],[f(x)={[x^(3)+3,," if "x!=0],[1,," if "x=0]" is "]

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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!=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^(2)+5, if x ne 0), (3, if x = 0):} is not continuous at x=0

Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if "x!=0),(0" , if "x=0):} is 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(x) given by f(x)={xsin1/x ,x!=0 0,x=0