pi is greater than 3

Reading path

To understand this page from the ground up, read these 70 pages in order. The foundations come first.

1. Limit point of a set definition
2. Local maximum definition
3. Sequence definition
4. Limit of a function definition
5. Local minimum definition
6. Real sequence definition
7. Subsequence definition
8. Continuity at a point definition
9. Derivative definition
10. Bounded sequence definition
11. Cauchy sequence definition
12. Geometric sequence definition
13. Limit of a sequence definition
14. Monotone sequence definition
15. Series definition
16. Continuous function definition
17. Differentiable function definition
18. Fermat's theorem on stationary points statement
19. Limit superior definition
20. Cauchy sequences are bounded statement
21. Sum of a finite geometric series statement
22. Monotone convergence theorem for sequences statement
23. Every sequence has a monotone subsequence statement
24. Convergent sequence definition
25. Pointwise convergence definition
26. Squeeze theorem statement
27. Alternating series definition
28. Partial sum definition
29. Power series definition
30. Intermediate value theorem statement
31. Derivative function definition
32. Bolzano–Weierstrass theorem statement
33. The sequence r^n tends to zero for |r| < 1 example
34. Radius of convergence definition
35. Alternating series test statement
36. Convergent series definition
37. Uniform convergence definition
38. Sine and cosine definition
39. Boundedness theorem statement
40. Higher derivative definition
41. Cauchy criterion for sequences statement
42. Absolute convergence definition
43. Uniform convergence on a set definition
44. Series of functions definition
45. A series of nonnegative terms converges iff its partial sums are bounded statement
46. Sum of a series definition
47. Extreme value theorem statement
48. Continuously differentiable function definition
49. Taylor polynomial definition
50. Uniformly Cauchy sequence of functions definition
51. Geometric series example
52. Comparison test statement
53. Rolle's theorem statement
54. Smooth function definition
55. Root test statement
56. Ratio test statement
57. Weierstrass M-test statement
58. Mean value theorem statement
59. Cauchy–Hadamard theorem statement
60. Ratio formula for the radius of convergence statement
61. Taylor series definition
62. Power series converge uniformly on smaller discs inside the radius of convergence statement
63. Maclaurin series definition
64. Uniform convergence of derivatives allows term-by-term differentiation statement
65. Term-by-term differentiation statement
66. Power series of cosine statement
67. Power series are differentiable inside the radius of convergence statement
68. Derivative of cosine statement
69. pi object
70. pi is greater than 3 statement