True or False If a function f is continous but not differentiable a.pdf

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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.

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

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