Learn how to algebraically determine the limit at infinity

The video tutorial explains how to handle division by the largest power in the denominator when the degree of the numerator is larger. It covers the concept of limits as X approaches infinity, emphasizing the importance of understanding exponent properties. The tutorial also discusses the behavior of functions as they approach infinity, highlighting the unbounded nature of certain functions.

What is the first step when the degree of the numerator is larger than the degree of the denominator?

• Multiply each term by the smallest power of the variable.

• Divide each term by the largest power of the variable from the denominator.

• Add the largest power of the variable to each term.

• Subtract the smallest power of the variable from each term.

As x approaches infinity, what happens to the expression C / X^R?

• It becomes undefined.

• It approaches zero.

• It remains constant.

• It approaches infinity.

What is the result of dividing X^(3/2) by X^1?

• X^3

• X^(1/2)

• X^2

• X^0

What happens to the expression as the variable x becomes very large?

• It becomes zero.

• It becomes a constant.

• It approaches negative infinity.

• It becomes positive infinity.

What is the final result when negative infinity is divided by three?

• Positive infinity

• Zero

• Negative infinity

• Undefined