№1948
\[\begin{array}{l}
{\text{а) }}\sqrt {x + \frac{1}{2}\sqrt {x + \frac{1}{4}\sqrt {x + \frac{1}{8}\sqrt {x + \frac{1}{{16}}\sqrt {x + ...} } } } } = \frac{1}{4} + \sqrt x ; \hfill \\
{\text{б) }}\sqrt {x - \frac{1}{2}\sqrt {x - \frac{1}{4}\sqrt {x - \frac{1}{8}\sqrt {x - \frac{1}{{16}}\sqrt {x - ...} } } } } = - \frac{1}{4} + \sqrt x . \hfill \\
\end{array}\]
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