Q3 (15 points) Suppose that a is a positive constant, and consider the function 4a if x 2 2 a . V2x if 05x52 (a)
Q3 (15 points) Suppose that a is a positive constant, and consider the function 4a if x 2 2 a . V2x if 05x52 (a) Calculate, in terms of a, the limits lim 8(2 + h) - 8(2) 8(2 + A) - 8(2) and lim A-0t (b) Is there a positive value (or values) of a for which g is differentiable at x = 2 ? If yes, find that value(s). Otherwise, explain why such value does not exist
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