Question: Let f be a function whose domain is R. Suppose that for all x (1, 1), x2 f(x) |x|. Prove that limx0 f(x) = 0.

Let f be a function whose domain is R. Suppose that for all x (1, 1), x2 f(x) |x|.

Prove that limx0 f(x) = 0.

Please use the epsilon-delta prove to prove this question.

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