Proposition 9.1 Uniformly continuous functions

Proposition 9.2 Riemann integrable functions

Proposition 9.3 Uniform Cauchy functions in complete metric spaces

Corollary 9.4 Products of integrals and sums

Proposition 9.5 Weierstrauss M-Test

Corollary 9.6 Uniformly convergent power series

Corollary 9.7 Integrable power series

Corollary 9.8 Differentiable power series

Proposition 9.9 Nowhere differentiable functions

Theorem 9.11 Weierstrauss Approximation Theorem