Evaluate the limit using sine and cosine special limits

The video tutorial discusses the concept of limits, focusing on why direct substitution cannot be applied in certain cases. It explains how to manipulate expressions to evaluate limits, specifically using sine and cosine functions. The tutorial demonstrates breaking down limits into parts for easier calculation and emphasizes practicing limit properties to reinforce understanding.

Why can't direct substitution be applied in the initial problem?

• Because the function is not continuous

• Because the function is undefined

• Because the limit does not exist

• Because it leads to an indeterminate form

What is the purpose of rewriting 2X squared as 2X * X?

• To prepare for integration

• To simplify the expression

• To factor out common terms

• To apply the chain rule

How can the expression be broken down using limit properties?

• By adding the limits

• By subtracting the limits

• By dividing the limits

• By multiplying the limits

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

• 0

• 1

• Infinity

• Undefined

Why is it beneficial to break up the expression into separate limits?

• It allows for easier differentiation

• It simplifies the calculation

• It makes the expression continuous

• It eliminates the need for substitution