1.\:\:\lim _{x\to 4}(\frac{\sqrt{x}-2}{x-4})
2.\:\:\lim _{x\to 13}(\frac{\sqrt{x-4}-3}{x-13})
3.\:\:\lim _{x\to 0}(\frac{\sqrt{1+x}-1}{x})
4.\:\:\lim _{x\to 9}(\frac{\sqrt{x}-3}{x-9})
5.\:\:\lim _{x\to 4}(\frac{2-\sqrt{x}}{4-x})
6.\:\:\lim _{x\to \infty}(\sqrt{x^2+4}-x)
7.\:\:\lim _{t\to \infty}(\frac{\sqrt{t}+t^2}{6t-t^2})
8.\:\:\lim _{x\to \infty}(\frac{\sqrt{x}+x^2}{4x-x^2})
9.\:\:\lim _{x\to \infty}(\frac{\sqrt{x}}{x-5})
10.\:\:\lim _{x\to \infty}(\frac{\sqrt{x}+x^2}{3x-x^2})
