Evaluate the limit using special trigonometric limit of cosine

The video tutorial explains how to solve the limit of (1-cos(X))/X as X approaches 0. It begins by stating the problem and then uses properties of limits to simplify the expression by taking constants outside the limit. The instructor calculates the limit, initially making a mistake, but then corrects it to show that the limit equals 0. The session concludes with encouragement to try more challenging problems.

What is the limit of (1 - cos(X)) / X as X approaches 0?

• 1

• 0

• Infinity

• Undefined

Which property of limits allows you to take a constant outside the limit?

• Limit Sum Rule

• Limit Product Rule

• Constant Multiple Rule

• Limit Quotient Rule

What is the result of the limit of (1 - cos(X)) / X as X approaches 0 after factoring out constants?

• 1

• 0

• 2

• 3

What should you do after understanding the basic limit problem discussed?

• Review the material again

• Try more challenging problems

• Ask for help

• Ignore the concept

What is the significance of the limit of (1 - cos(X)) / X in calculus?

• It helps in understanding derivatives

• It is used in integration

• It is not significant

• It is a fundamental theorem