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Calculating Limit of Function – A quotient of functions with square roots – Exercise 5827

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow 2} \frac{\sqrt{x+2}-\sqrt{3x-2}}{\sqrt{4x+1}-\sqrt{5x-1}}

Final Answer


\lim _ { x \rightarrow 2} \frac{\sqrt{x+2}-\sqrt{3x-2}}{\sqrt{4x+1}-\sqrt{5x-1}}=3

Solution

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