Understanding Limits with Desmos

The video tutorial demonstrates how to evaluate limits numerically using Desmos. It covers two examples: the limit of x^5/5^x and the limit of cos(x)/(x+1) as x approaches infinity. The tutorial includes step-by-step instructions on setting up tables in Desmos, entering functions, and interpreting results. It also shows how to verify limits graphically by adjusting the graph view and observing function behavior as x increases. The video concludes with a summary of the findings and encourages further exploration of limits using Desmos.

What tool is used to evaluate limits numerically in the video?

• Wolfram Alpha

• Google Sheets

• Desmos

• Microsoft Excel

What is the function used in the first limit evaluation?

• x^2 divided by 2^x

• x^5 divided by 5^x

• x^3 divided by 3^x

• x^4 divided by 4^x

As x approaches infinity, what does the function x^5 divided by 5^x approach?

• Negative Infinity

• Zero

• Infinity

• One

What is the purpose of dragging a point on the graph in Desmos?

• To change the function

• To adjust the graph's color

• To see how the function behaves as x changes

• To zoom in on the graph

What is the second function evaluated in the video?

• sin(x) divided by x + 1

• tan(x) divided by x + 1

• log(x) divided by x + 1

• cos(x) divided by x + 1

As x approaches infinity, what does the function cos(x) divided by x + 1 approach?

• Zero

• Positive One

• Infinity

• Negative One

What feature in Desmos allows you to turn off points on the graph?

• The color palette

• The zoom tool

• The green circle in the table

• The wrench icon

What happens to the function values of cos(x) divided by x + 1 as x increases?

• They fluctuate but approach positive one

• They remain constant

• They approach zero

• They become negative

What is the significance of changing the x max in Desmos?

• To view more of the function to the right

• To reset the graph

• To change the function

• To adjust the color of the graph

What is the main goal of the video tutorial?

• To explain the history of calculus

• To demonstrate the use of Desmos for evaluating limits

• To introduce basic arithmetic operations

• To teach how to solve algebraic equations