Let f(x) = x3 + 1, if x 1 a(x 2)2 + b, if x > 1 Use one-sided limits to find the values
Chapter 4, Problem T17(choose chapter or problem)
Let f(x) = x3 + 1, if x 1 a(x 2)2 + b, if x > 1 Use one-sided limits to find the values of the constants a and b that make function f differentiable at x = 1. Show that the limits off(x) as x approaches 1 from the right and fromnot differentiable at x = 1.
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