Calculating Limit of Function – A rational function as x approaches infinity – Exercise 6169

Exercise

Evaluate the following limit:

limxxx2+1\lim _ { x \rightarrow \infty} \frac{x}{\sqrt{x^2+1}}

Final Answer


limxxx2+1=1\lim _ { x \rightarrow \infty} \frac{x}{\sqrt{x^2+1}}=1

Solution

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