2. EXAM I REVIEW: Limits Mr. January Calculus I EMAIL ME April 3, 2011

3. The questions on the upcoming slides are going to test your skill level and will tell you what you need to prepare for before tomorrow’s exam. Answer the questions to the best of your ability. If you answer a question correctly, you must continue… But if you answer a question incorrectly, you must go back. Use the arrows on the bottom of the page to skip to the next question. Who’s Ready!

4. Question 1 During which of the following circumstances does a limit fail to exist? When the limit equals zero When the limit approaches infinity When the left-hand, and right-hand limits don’t match values When the limit approaches negative infinity Next Question

5. Question 2 A limit that is denoted with a “+” is an example of: Next Question A right-hand limit A limit at infinity A limit at negative infinity A left-hand limit Go Back

6. Question 3 A limit will always __________ the expected value. Next Question Approach Defer fromMeet Connect to Go Back

7. Question 4 Next Question Approach either Infinity or Negative infinity Approach the X-Axis Approach zero Approach the Asymptote Go Back If a curve is bound by an asymptote, then the limit will most likely…

8. Question 5 If a limit is solved, but still remains undefined, then what is the next step you must take in order to solve properly? Next Question Start over and try a different Method Take the Derivative The limit does not exist Further simplify the function with algebra Go Back

9. Question 6 True or False. A limit is used in the definition of a derivative because one must know the value of the tangent line in order to find the derivative. Next Question TrueFalse Go Back

10. Question 7 A function must be ___________ at all points on the graph in order for the limit to exist. Next Question Differentiable Parabolic Exponential linear Go Back

11. Question 8 True or False. L’Hospital’s rule states that you may differentiate all limit functions in order to find the answer to them. Next Question TrueFalse Go Back

12. Question 9 True or False = ∞ Next Question FalseTrue Go Back

13. Question 10 Are limits and derivatives so closely related that they test relatively find the same types of values? YesNo Go Back

14. Correct!!! The limit must approach the same value from each side. Go Back

15. Correct!!! That is an example of a limit that approaches from the right. Go Back

16. Correct!!! A limit will always approach the expected value. Go Back

17. Correct!!! If a curve is bound by an asymptote, then the limit will most likely Approach either Infinity or Negative infinity. Go Back

18. Correct!!! Go Back KEEP ON SOLVING WITH ALGEBRA

19. Correct!!! One must use limits in order to find the slope of the tangent line by knowing the slope of the secant line. Go Back

20. Correct!!! A function must be differentiable at all points on the graph in order for the limit to exist. Go Back

21. Correct!!! L’hospital’s rule can Only be used if the function is not defined. Go Back

22. Correct!!! Infinity + Infinity+3= Infinity. Go Back

23. Correct!!! No, Limits test undefined values. Derivatives test velocity, slopes of tangent lines, and instantaneous rate of change. GO!!!

24. Incorrect, go back and try again. Go Back!!

25. Nice Job! You have successfully completed the Limit quiz/review! Start Over!