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Limits & Continuitymedium
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A pool is filled by Pipe A at rate 1x\frac{1}{x}x1​ pools/hour and Pipe B at 12x\frac{1}{2x}2x1​ pools/hour. The combined time T(x)T(x)T(x) is the reciprocal of the combined rate. Find lim⁡x→∞T(x)\lim_{x \to \infty} T(x)limx→∞​T(x).