Limits of irrational functions Questions with solutions

By Ashok Kumar, B.E.

Fact-checked: February 16, 2026

$1$

Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\sqrt{1+x}-1}{x}}$

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$2$

Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\sqrt{x^2+x+1}-\sqrt{x^2+1}}{x}}$

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Ashok Kumar, B.E.

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Limits of irrational functions Questions with solutions

Ashok Kumar, B.E.

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