1. Limits
What does this mean?

2. Finding the area under a curve
y=4x-x2
riemann.html
Text n 2 4 6 8 10 20 50
100
area

3. Find the area under the curve
Use limits to determine the area... n 4 10 20 50
100
area

4. y=16-x2 between -3 and 4
Draw the curve and then use Left, Right and Mid bounds to determine the limit of the area.

5. y=4sin(x)
Use limits to determine the area under one hill of the curve.

6. Limit and slope
limslopenotes (pdf)

7. Determine the y-coordinate for each value of the domain below
(8, ); (7, ); (6, ); (5, ); (4, ); (3, ); (2, ), (1.5, ); (1.3, ); (1.1, ) (1, )

10. Find 5 points on the graph that are increasingly closer to the point (1, 4) and use limits to determine the slope of the tangent at x=1.

11. Review 2. Find the area under y= - x2 - x+20 between x= -4 and x = 3.
1. Estimate the limit
2. Find the area under y= - x2 - x+20 between x= -4 and x = 3. n 2 5 10 20 50
100
area 35
37.5
38.1
38.16
38.19
38.195

12. limseqnotes

13. Limits to infinity (exponential functions)

14. Calculate the limit as x approaches infinity

15. Limits of sequences

20. Un lien utile pour les limites de séquences
4.html

21. limseriesw/notes

23. Summation Notation

24. n’th partial sums Calculate the infinite sum by taking the limit
of the n’th partial sum. State that the series is either
convergent or divergent.

26. Sums to infinity

27. Find the sum

29. Express a repeating decimal as a fraction.…

30. 4.2777…

31. …

32. Use the infinite sum formula for geometric series to sum the following:

33. Interval of convergence

36. Limits of Functions

38. Type a/b, where a≠0

39. Type a/0, where a≠0

40. Type 0/0

41. expand and simplify

42. rationalize the denominator

43. Rationalize the numerator

44. Limits: Horizontal & Vertical Asymptotes

56. 1. Limits from the Right and the Left

57. 2. Limits from both sides

59. Next lesson: Continuity