👉 In mathematics, a "gauche" function is a real-valued function that satisfies the condition where it is continuous on an open interval containing zero and its derivative is positive. This means that as x approaches zero from the left or right, f(x) increases without bound. For example, consider the function f(x) = 1/x if x ≠ 0, and f'(x) = -1/x^2 if x = 0. The function is "gauche" because
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