Evaluating the limit using properties of limits and special trig limits

The video tutorial explains how to apply the distributive property in division and rewrite expressions using limits. It covers the use of limit laws to separate and simplify expressions, focusing on individual functions. The tutorial concludes with the final calculation, demonstrating the process of simplifying the expression to reach the solution.

What mathematical property is being applied to division in the first section?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

According to the limit laws, what can be done when you have the sum of two limits?

• Add a constant to each

• Multiply them together

• Subtract one from the other

• Separate and evaluate them individually

What is the result of simplifying x divided by x as x approaches 0?

• 1

• 0

• Infinity

• Undefined

What adjustment is made to the denominator to simplify the limit involving sine?

• Divide by 2

• Add 2 to the denominator

• Multiply by 2 over 2

• Multiply by 3 over 3

What is the final result of the limit calculation?

• 5

• 3

• 4

• 2