Evaluating a limit at infinity horizontal asymptote

The video tutorial explains how to evaluate limits by dividing each term by the variable with the highest power in the denominator. It demonstrates this method with an example, showing how as X approaches infinity, certain terms approach zero, simplifying the limit evaluation. The tutorial concludes with a key rule for handling limits involving variables raised to a power.

What is the first step in evaluating a limit involving a variable in the denominator?

• Subtract the variable from each term.

• Divide each term by the variable with the highest power.

• Multiply each term by the variable with the highest power.

• Add the variable to each term.

As X approaches infinity, what happens to the term 1/X?

• It approaches infinity.

• It remains constant.

• It approaches zero.

• It becomes negative.

In the context of limits, what does it mean when a term 'divides out'?

• The term becomes infinite.

• The term cancels out with another term.

• The term remains unchanged.

• The term becomes zero.

What is the result of dividing a constant by a variable raised to a power as the variable approaches infinity?

• The result approaches the constant.

• The result approaches zero.

• The result approaches infinity.

• The result becomes undefined.

What is the final result of the limit evaluation in the example provided?

• Infinity

• 2

• 0

• 1