Theorem 4.1 Arithmetic of limits of functions

Proposition 4.2 Relationship between limits of sequences and limits of functions

Proposition 4.3 Limits of functions are unique

Theorem 4.4 Arithmetic of continuous functions

Theorem 4.5 Arithmetic of continuous functions

Proposition 4.6 Exponential functions are continuous

Proposition 4.7 Power functions are continuous

Proposition 4.8 Differentiable functions are continuous

Proposition 4.9 the Product and Quotient rules

Proposition 4.10 Compositions of continuous functions are continuous

Proposition 4.11 Chain Rule