Calculating Limit of Function – A quotient of functions with a square root – Exercise 5925

Exercise

Evaluate the following limit:

\lim _ { x \rightarrow 0} \frac{\sqrt{1+x+x^2}-1}{x}

Final Answer


\lim _ { x \rightarrow 0} \frac{\sqrt{1+x+x^2}-1}{x}=\frac{1}{2}

Solution

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