Evaluate a limit at infinity with a radical in denominator

The video tutorial covers the concept of limits, focusing on handling expressions involving square roots as X approaches infinity. It explains dividing expressions by X squared and simplifying them. The tutorial evaluates limits and determines values as X approaches both positive and negative infinity, providing a comprehensive understanding of these mathematical concepts.

What is the correct interpretation of sqrt X as X approaches infinity?

• It is always positive.

• It can be either positive or negative.

• It is always negative.

• It remains constant.

When dividing expressions involving X squared under a square root, what must be considered?

• The square root can be ignored.

• The X squared terms cancel out automatically.

• The expressions become undefined.

• The division must include the square root.

As X approaches infinity, what happens to the expression 2/X?

• It approaches 2.

• It approaches 0.

• It approaches infinity.

• It remains constant.

What is the result of simplifying the expression -1 / sqrt(6) as X approaches infinity?

• It becomes 0.

• It becomes 1.

• It remains -1 / sqrt(6).

• It becomes undefined.

What should students do to evaluate the limit as X approaches negative infinity?

• Use the same principles as for positive infinity.

• Ignore the negative sign.

• Assume the limit is zero.

• Use a different set of rules.