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Calculating Limit of Function – A quotient of functions with square roots – Exercise 6217

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow \infty} \frac{\sqrt{x^3+x^2}-\sqrt{x^3-1}}{\sqrt{x}}

Final Answer


\lim _ { x \rightarrow \infty} \frac{\sqrt{x^3+x^2}-\sqrt{x^3-1}}{\sqrt{x}}=\frac{1}{2}

Solution

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