Learn how to evaluate a limit at infinity

The video tutorial explains how to simplify fractions by dividing each term by the highest power in the denominator. It demonstrates rewriting expressions as variables approach negative infinity and simplifies them by evaluating limits. The tutorial concludes with a summary of the process, emphasizing that terms divided by variables tend to zero, simplifying the expression significantly.

What is the first step in simplifying an expression as x approaches negative infinity?

• Divide each term by the highest power in the denominator.

• Multiply each term by the highest power in the numerator.

• Subtract the highest power from each term.

• Add the highest power to each term.

When rewriting the expression, what power of x is used to divide each term?

• x cubed

• x squared

• x to the fourth

• x to the fifth

What happens to terms with variables in the denominator as x approaches infinity?

• They approach zero.

• They become larger.

• They become negative.

• They remain constant.

What is the final result of the expression after simplification?

• Undefined

• Negative infinity

• Zero

• Infinity

In the context of limits, what does it mean when a term 'goes to zero'?

• The term remains constant.

• The term becomes infinitely large.

• The term becomes negligible as x increases.

• The term becomes negative.