True or False If a function f is continous but not different

True or False: If a function f is continous but not differentiable at x=a, then you cannot find a polynomial approximation of f(a). Explain!

Solution

FALSE we can have a removable type of discontinuity and hence the function will be non-differentiable but we will have a value for f(a) and it will be finite, hence the above statement is false