Next: Limit of a variable Up: Differential Calculus and SAGE Previous: Exercises Contents Index

Theory of limits

Subsections

Limit of a variable
Division by zero excluded
Infinitesimals
The concept of infinity ( $\infty$ )
Limiting value of a function
Continuous and discontinuous functions
Continuity and discontinuity of functions illustrated by their graphs
Fundamental theorems on limits
Special limiting values
Show that $\lim_{x \to 0} \frac{\sin\, x}{x} = 1$
The number
Expressions assuming the form $\frac {\infty }{\infty }$
Exercises

david joyner 2008-08-11