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If the function f(x) defined as f(x) = [(-x^2/2 for x ≤ 0), (x^nsin(1/x) for x > 0) is continuous but not derivable then

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If the function f(x) defined as f(x) = [(-x2/2 for x ≤ 0), (xnsin(1/x) for x > 0) is continuous but not derivable then find the range of n.

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f(x) is continuous at x = 0

f(0) = 0

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