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Calculating Limit of Function – A quotient of functions with square roots – Exercise 6183

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow \infty} \frac{\sqrt{x}}{\sqrt{x+\sqrt{x+\sqrt{x}}}}

Final Answer


\lim _ { x \rightarrow \infty} \frac{\sqrt{x}}{\sqrt{x+\sqrt{x+\sqrt{x}}}}=1

Solution

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