$$$$

Continuity

• In ?sec-function-continuity we give the definition of continuity and
• In ?sec-function-properties we look at basic properties of continuous functions and their arithmetic.
• In 18  Important Theorems we prove some foundational theorems about continuous functions, including the extreme value theorem and intermediate value theorem.
• In 17  Power Series we introduce the theory of power series
• In 20  Elementary Functions we give rigorous definitions of the familiar exponential, logarithmic and trigonometric functions