How to evaluate the left hand limit algebraically with a radical

The video tutorial discusses the ineffectiveness of drug substitution and explores the concept of rationalizing the radical, highlighting its limitations. It then shifts focus to understanding limits and approaching asymptotes, using smaller numbers to determine left-hand limits as a function approaches a specific value.

Why does rationalizing the radical not help in solving the problem?

• It leads to a division by zero.

• It simplifies the expression too much.

• It results in a complex number.

• It doesn't change the outcome of direct substitution.

What is the significance of approaching an asymptote in limit calculations?

• It helps in using smaller numbers to find limits.

• It allows for exact value determination.

• It avoids the need for substitution.

• It simplifies the expression completely.

When approaching 9 from the left, which number is suggested to use?

• 9.1

• 8.5

• 8.9

• 9.5

What is the result of multiplying a positive number by a negative number in limit calculations?

• Positive Infinity

• Zero

• Negative Infinity

• Undefined

What is the limit as X approaches 9 from the left in the given example?

• Positive Infinity

• Zero

• Negative Infinity

• Undefined