Question: 2. [3 points] Let a be a constant and define f by sin(ax) if + + 0, f(z) = 3x 1/6, if I = 0.

 2. [3 points] Let a be a constant and define f

by sin(ax) if + + 0, f(z) = 3x 1/6, if I

2. [3 points] Let a be a constant and define f by sin(ax) if + + 0, f(z) = 3x 1/6, if I = 0. For what value of a is f continuous at z = 0? Give reasons. 3. [2 points] Let f,9, h be differentiable functions defined for all values of r with values given by h(0) = 3, h'(0) = 0, h'(1) = 4, h(1) = 0, g(0) = 1, g'(0) = 2, f'(1) = 1. If y = f(g(h(z))), find y'(1)

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