Final Answer
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Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{x^2+x+1}+\sqrt{x^2+x}}{\sqrt{x^2+x+1}+x}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\sqrt{0^2+0+1}+\sqrt{0^2+0}}{\sqrt{0^2+0+1}+0}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim(((x^2+x+1)^1/2+(x^2+x)^1/2)/((x^2+x+1)^1/2+x)). Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{x^2+x+1}+\sqrt{x^2+x}}{\sqrt{x^2+x+1}+x}\right) by replacing all occurrences of x by 0. Add the values 0 and 1. Add the values 0 and 1. Calculate the power 0^2.