Find f(x) using the formal definition of a limit and proper limit notation.
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Transcript of Find f(x) using the formal definition of a limit and proper limit notation.
![Page 1: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/1.jpg)
Find f’(x) using the formal definition of a limit and proper limit notation.
![Page 2: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/2.jpg)
State, with reasons, the valuesof x where f(x), shown below,is not differentiable.
![Page 3: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/3.jpg)
Find the slope of the line that is normal to f(x) at the point(-1, 2).
![Page 4: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/4.jpg)
Find f’(x).
![Page 5: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/5.jpg)
Find dy/dx.
![Page 6: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/6.jpg)
A particle’s motion is describedby the following function:
where s is measured in feet and t is measured in seconds.
Find the average velocity of theparticle over the first 5 seconds.
![Page 7: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/7.jpg)
A particle’s motion is describedby the following function:
where s is measured in feet and t is measured in seconds.
Find the speed of the particle at 7 seconds.
![Page 8: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/8.jpg)
A particle’s motion is describedby the following function:
where s is measured in feet and t is measured in seconds.
When does the particle changedirection?
![Page 9: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/9.jpg)
A particle’s motion is describedby the following function:
where s is measured in feet and t is measured in seconds.
Find the the total distance theparticle covers in the first 5 seconds.
![Page 10: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/10.jpg)
Find all points of discontinuity.
![Page 11: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/11.jpg)
Solve the following equationalgebraically. Give approximateanswers rounded to the nearestthousandth.
![Page 12: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/12.jpg)
Find the equation of the horizontal asymptote, if it exists, for the following function. Justify your answer using a limit statement.
![Page 13: Find f(x) using the formal definition of a limit and proper limit notation.](https://reader033.fdocuments.us/reader033/viewer/2022050803/5a4d1b707f8b9ab0599b4fd9/html5/thumbnails/13.jpg)
Evaluate the following limitalgebraically. You must show allwork to justify your answer.