Limits at Infinity at

Use the link below to explore limits at infinity.

As $x$ heads to either positive or negative infinity, how are the $y-$values behaving? Are they heading to positive or negative infinity or to a constant value?

List each function and describe its end behavior from the given function graphs.

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$$For each of the functions below, discuss the behavior of each as $x-$inf and as $x--$inf.

Function

$f(x)=\frac{6}{x^2+1}cos(x^2)$

$f_1(x)=\frac{1}{x^{\frac{1}{2}}}$

$g(x)=\frac{1}{50}(x+2{)}^3+3$

$g_1(x)=\frac{1}{x^{\frac{1}{4}}}$

$h(x)=\frac{3}{x-2}$

$h_1(x)=\frac{1}{x^{-2}}$

$m(x)=\frac{1}{x^0}$