Limit Quiz 3

$\mathop {\lim }\limits_{x \to \infty } \left( {\frac{{6{x^2}}}{{2{x^2} + 7x}} + \frac{{{{\left( {\frac{1}{2}} \right)}^x}}}{{3x + 4}}} \right)$
$\mathop {\lim }\limits_{y \to \infty } \left( {5 \cdot \frac{{3{y^5} - {y^4}}}{{{y^5} + y + 2}}} \right)$
$\mathop {\lim }\limits_{k \to \infty } \frac{1}{{{{\left( {\frac{3}{4}} \right)}^k}}}$
$\mathop {\lim }\limits_{z \to \infty } \frac{6}{{{{1.2}^z}}}$
$\mathop {\lim }\limits_{t \to \infty } {t^2} + 7t + 1$
$\mathop {\lim }\limits_{z \to \infty } \frac{{z + 100}}{{{z^2} + 6z + 1}}$