Evaluating using special trig limits

The video tutorial explains how to solve a multiplication problem involving algebraic expressions. The teacher guides students through multiplying 5X by 3/5 to obtain 3X, emphasizing the importance of maintaining balance in equations by performing operations on both the numerator and denominator. The tutorial also covers simplifying expressions and applying limits to functions, specifically focusing on the sine function. The session concludes with the final result of the calculation.

What is the correct factor to multiply with 5X to obtain 3X?

• 5/3

• 3/5

• 1/5

• 5/1

Why do we multiply both the numerator and the denominator by the same factor?

• To change the value of the expression

• To eliminate the denominator

• To ensure the expression remains equivalent

• To make the expression more complex

What happens to the expression when 3/5 is multiplied with 5X?

• It becomes 1X

• It remains 5X

• It simplifies to 3X

• It becomes 15X

What is the limit of sine of 3X over 3X as X approaches zero?

• Three

• One

• Infinity

• Zero

What is the final result of the expression after applying the limit?

• 0.3

• 0.5

• 0.6

• 1.0