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11) (Extra Credit) Do some research! Find an example of a function which is continuous at x=0, infinitely differentiable at x=0, but whose Maclaurin series

11) (Extra Credit) Do some research! Find an example of a function which is continuous at x=0, infinitely differentiable at x=0, but whose Maclaurin series does not actually represent f in any interval around the origin.

12) Find an equation of the ellipse with foci (0,2) and (0,-2) and vertices (0,3) and (0,-3).

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