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S1.3

math.toronto.edu · 3,260 words · saved by 1 readers

This is an abbreviated version of material in Sections 1.4 and 1.5 of Folland's Advanced Calculus. For these sections, students will be responsible for only the material covered in these notes.

S1.3 1.3: Sequences etc. $\newcommand{\R}{\mathbb R }$ $\newcommand{\N}{\mathbb N }$ $\newcommand{\Z}{\mathbb Z }$ $\newcommand{\bfa}{\mathbf a}$ $\newcommand{\bfb}{\mathbf b}$ $\newcommand{\bff}{\mathbf f}$ $\newcommand{\bfu}{\mathbf u}$ $\newcommand{\bfx}{\mathbf x}$ $\newcommand{\ep}{\varepsilon}$ Sequences and completeness. Basics of sequences Review of completeness from first-year calculus Subsequences and convergent subsequences Problems This is an abbreviated version of material in Sections 1.4 and 1.5 of Folland's Advanced Calculus . For these sections, students will be responsible for

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