Limits and continuity
- Limits
- Limit by Heine - Animations
- Finite limit at x=a : if for every sequence {xn} with a limit at a, the sequence of {f(xn)} has a limit at g
- Infinite limit at x=a; Vertical asymptote, x=a :
- Limits at infinity; Horizontal asymptotes, y=L, y=M :
- Finite limit at x=a : if for every sequence {xn} with a limit at a, the sequence of {f(xn)} has a limit at g
- Limit by Cauchy - Animations
- The limit exists if no matter how small ε around g is set, one can always find δ around x0 so that all the values f(x) around x0 fall within ε from g
- The limit does not exist if for some ε around g, no matter how small δ around x0 is set some of the values f(x) around x0 do not fall within ε from g
- The limit exists if no matter how small ε around g is set, one can always find δ around x0 so that all the values f(x) around x0 fall within ε from g
- Exercises - limits (Centrum Matematyki PG)
- Function continuity (Centrum Matematyki PG)
- Exercises - function continuity (Centrum Matematyki PG)
- Vocabulary - limits and continuity (Centrum Matematyki PG)
