Find the limit of $\frac{x^2-25}{x-5}$ as $x$ approaches $5$

Evaluate the limit

$\lim_{x\to0}\left(\frac{\sin\left(3x\right)}{\tan\left(4x\right)}\right)$

Evaluate the limit

$\lim_{x\to0}\left(\frac{x^2}{1-\cos\left(x\right)}\right)$

Evaluate the limit

$\lim_{x\to0}\left(\frac{\sqrt{5+x}-\sqrt{5}}{x}\right)$

Evaluate the limit

$\lim_{x\to10}\left(\frac{\sqrt{x+6}-4}{x-10}\right)$

Evaluate the limit

$\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$

Evaluate the limit

$\lim_{z\to10}\left(\frac{\sqrt{z+6}-4}{z-10}\right)$

Evaluate the limit

$\lim_{x\to0}\left(\frac{5^x-1}{\ln\left(1+x\right)}\right)$