Ononot — A tank is filled by two pipes. Pipe A fills the tank at rate

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Limits & Continuityhard

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A tank is filled by two pipes. Pipe A fills the tank at rate $R_A(x) = \frac{1}{x}$ pools/hr, and Pipe B fills it at rate $R_B(x) = \frac{1}{x+4}$ pools/hr. The combined time to fill the tank is $T(x) = \frac{x(x+4)}{2x+4}$ . What is $\lim_{x \to \infty} T(x)$ ?