\[\underset{x\to \infty }{\mathop{\lim }}\,\left[ \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x} \right]\]is equal to

\[\underset{x\to \infty }{\mathop{\lim }}\,\left[ \sqrt{x+\sqrt{x+\sqr

1.	\[\underset{x\to \infty }{\mathop{\lim }}\,\left[ \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x} \right]\]is equal to
A.	0
B.	\[\frac{1}{2}\]
C.	\[\frac{1}{p}-\frac{1}{p-1}\]
D.	\[{{e}^{4}}\]
Answer» C. \[\frac{1}{p}-\frac{1}{p-1}\]

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\[\underset{x\to \infty }{\mathop{\lim }}\,\left[ \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x} \right]\]is equal to

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