- 1.2k Downloads
This chapter contains three important results: (1) the Intermediate Value Theorem (that if a continuous function takes the values a and b, then it takes all values between a and b); (2) a function whose derivative is identically zero is constant; (3) the General Principle of Convergence (which gives a necessary and sufficient condition for a limit to exist). All of these are proved by the repeated bisection of an interval.
Unable to display preview. Download preview PDF.