Understanding One-Sided Limits on the TI-89 Calculator

This tutorial explains how to determine one-sided limits using the TI-89 graphing calculator. It covers calculating limits as X approaches a value from the right and left, using the calculator's limit function. The tutorial also discusses how to interpret results when limits do not exist, emphasizing the importance of one-sided limits being equal for a limit to exist.

What is the primary function of the TI-89 calculator discussed in this tutorial?

• Graphing functions

• Determining one-sided limits

• Solving equations

• Calculating derivatives

Which menu on the TI-89 calculator contains the limit function?

• Algebra

• Calculus

• Graph

• Matrix

When calculating the limit as X approaches 2 from the right, what value is typically used to indicate the positive side?

• 2

• -1

• 1

• 0

What is the result of the limit as X approaches 2 from the right side?

• -1

• 2

• 1

• 0

What tool is used to verify the calculated limit on the TI-89?

• Derivative function

• Graphing function

• Equation solver

• Matrix solver

What mistake was corrected when calculating the limit from the left side?

• Missing parenthesis

• Wrong function

• Wrong menu

• Incorrect variable

What is the result of the limit as X approaches 2 from the left side?

• 2

• -1

• 1

• 0

What conclusion is drawn when the one-sided limits from the left and right are not equal?

• The limit does not exist

• The limit exists

• The limit is infinite

• The limit is zero

What does the calculator indicate when the limit does not exist?

• Undefined

• Negative

• Infinity

• Zero

What letters are used to indicate a non-existent limit?

• N/A

• DNE

• INF

• NULL