Ononot — A pool is filled by two pipes. Pipe A rate is RA(x) = \frac{

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Limits & Continuityhard

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A pool is filled by two pipes. Pipe A rate is $R_A(x) = \frac{1}{x}$ and Pipe B rate is $R_B(x) = \frac{1}{x+4}$ . What is the limit of the combined time $T(x) = \frac{1}{R_A + R_B}$ as $x \to \infty$ ?