To Determine:

What are the Limits at Infinity of Rational Functions?

Step 2

Explanation:

In case of rational function, given limit is infinity.

For example:

underset \((x->oo)(lim)(4x^2+5)/(6x+7)\)

In that case, we will take common highest degree term (that is x2) to numerator and take common highest degree term (that is x) in the denominator.

After that simplify it then take the limit.

What are the Limits at Infinity of Rational Functions?

Step 2

Explanation:

In case of rational function, given limit is infinity.

For example:

underset \((x->oo)(lim)(4x^2+5)/(6x+7)\)

In that case, we will take common highest degree term (that is x2) to numerator and take common highest degree term (that is x) in the denominator.

After that simplify it then take the limit.