Indeterminate Sine Forms
$
\lim\limits_{\theta\to0}\frac{\sin(a\theta)}{b\theta}
$
Indeterminate Exponential Forms
$
\lim\limits_{x\to0}\,\frac{e^{ax}-1}{bx}
$
Limits indeterminate factorable
$
\lim\limits_{x\to-3}\,\frac{x^2+x-6}{x^2+8x+15}
$
Limits at Infinity
$ \lim\limits_{x\to \infty}\,\frac{3x + \sqrt{4x^2+5}}{6x+1} $