# Find the limit as x approaches infinity of x^7/(7x)?

${\lim}_{x \to \infty} {x}^{7} / \left\{7 x\right\}$
by cancelling out $x$'s,
$= {\lim}_{x \to \infty} {x}^{6} / 7 = {\left(\infty\right)}^{6} / 7 = \infty$