Limits of irrational functions Questions with solutions
$1$
Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\sqrt{1+x}-1}{x}}$
$2$
Evaluate $\displaystyle \large \lim_{x\,\to\,0}{\normalsize \dfrac{\sqrt{x^2+x+1}-\sqrt{x^2+1}}{x}}$