Let fsxd H
Chapter 4, Problem 92(choose chapter or problem)
Let fsxd H| x | x 1 if x 0 if x 0 (a) Show that f is continuous at 0. (b) Investigate graphically whether f is differentiable at 0 by zooming in several times toward the point s0, 1d 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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