Evaluating the limit using special trig limits

The video tutorial explains limit laws and properties, focusing on how multiplication affects limits. It demonstrates the application of these rules using graphical representations and emphasizes the importance of understanding the limit of sine functions as they approach zero. The tutorial also covers how to manipulate expressions to apply limit rules effectively.

What does the limit property state when multiplying a constant with a function?

• The constant must be added to the limit.

• The constant can be factored out of the limit.

• The limit of a constant is always zero.

• The limit of a constant is the constant itself.

How can you transform 1/2 into an equivalent fraction?

• By adding 2 to both the numerator and denominator.

• By multiplying both the numerator and denominator by the same number.

• By subtracting 1 from both the numerator and denominator.

• By dividing both the numerator and denominator by 2.

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

• 0

• Infinity

• 1

• Undefined

What happens to the limit of sine of 4X over 4X as X approaches zero?

• It becomes undefined.

• It approaches 1.

• It approaches 0.

• It approaches 4.

How can graphing technology be useful when evaluating limits?

• It can provide a numerical approximation of the limit.

• It can replace the need for algebraic calculations.

• It can show the exact value of the limit.

• It can visually demonstrate the behavior of the function as it approaches a point.