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If f.g is continuous at x = 0 , then f ...

If `f.g` is continuous at `x = 0` , then f and g are separately continuous at `x = 0`.

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To determine whether the statement "If \( f \cdot g \) is continuous at \( x = 0 \), then \( f \) and \( g \) are separately continuous at \( x = 0 \)" is true or false, we can analyze it step by step. ### Step 1: Understanding the Functions Let’s assume two functions: - \( f(x) = \sin x \) - \( g(x) = \cot x \) ### Step 2: Finding the Product ...
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