Limit of a sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Limiting sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Limit of a function at infinity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Limit at a point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Further examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Continuity of piecewise-defined functions . . . . . . . . . . . . . . . . . . . . . . . . 16
Links forward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Formal definition of a limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
The pinching theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Finding limits using areas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
History and applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Paradoxes of the infinite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Pi as a limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Infinitesimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Cauchy and Weierstrass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Consults, E. (2022). MAT 112 - Calculus: Limits and Continuity. Afribary. Retrieved from https://track.afribary.com/works/mat112
Consults, Education "MAT 112 - Calculus: Limits and Continuity" Afribary. Afribary, 02 Jun. 2022, https://track.afribary.com/works/mat112. Accessed 20 Nov. 2024.
Consults, Education . "MAT 112 - Calculus: Limits and Continuity". Afribary, Afribary, 02 Jun. 2022. Web. 20 Nov. 2024. < https://track.afribary.com/works/mat112 >.
Consults, Education . "MAT 112 - Calculus: Limits and Continuity" Afribary (2022). Accessed November 20, 2024. https://track.afribary.com/works/mat112