The video tutorial explains how to solve a mathematical problem involving limits. It begins by identifying a potential issue with the denominator when plugging in a value. The instructor then demonstrates the need to factor the expression to simplify the problem. By applying the division property, the function is further simplified. Finally, the function is evaluated by plugging in a specific value, leading to the calculation of the limit.

What problem arises when trying to evaluate a limit with a zero in the denominator?

• The limit becomes undefined.

• The limit becomes infinite.

• The limit equals zero.

• The limit equals one.

Why is factoring necessary when dealing with limits that result in a zero denominator?

• To eliminate the variable completely.

• To change the variable in the expression.

• To simplify the expression and avoid division by zero.

• To make the expression more complex.

What is the purpose of applying the division property in this context?

• To simplify the expression for easier evaluation.

• To divide the expression into smaller parts.

• To multiply the expression by a constant.

• To add terms to the expression.

After factoring and simplifying, what value is substituted into the function to evaluate the limit?

• -1

• 0

• 1

• 6

What is the final evaluated limit as x approaches -1?

• -7

• 0

• 7

• -6