Let (a) Show that f is continuous at 0. (b) Investigate graphically whether f is differentiable at

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Let

(a) Show that f is continuous at 0.
(b) Investigate graphically whether f is differentiable at by zooming in several times toward the point (0, 1) on the graph of f.
(c) Show that f is not differentiable at 0. How can you reconcile this fact with the appearance of the graphs in part (b)?

S1*F if x0 f(x). if x= 0
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