(Continuation of 54) You may remember that the Second Derivative test tells us nothing
Chapter 0, Problem 55(choose chapter or problem)
(Continuation of 54) You may remember that the Second Derivative test tells us nothing when the second derivative is zero at the critical point. In this problem you will investigate that special case. Assume g has the same properties as in 54, and that, in addition, g(0) = 0. What does the Taylor polynomial tell you about whether g has a local maximum or minimum at x = 0?
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