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

## Question:

(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)?

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