Summary
Contents
This book of worked-out examples not only accompanies Timothy M. Hagle's earlier book Basic Math for Social Scientists: Concepts, but also provides an informal refresher course in algebra sets, limits and continuity, differential calculus, multivariate functions, partial derivatives, integral calculus, and matrix algebra. Problem sets are also provided so that readers can practice their grasp of standard mathematical procedures.
Limits and Continuity
Limits and Continuity
2.1 The Concept of a Limit
Problem 2.1.1. Consider the function f(x) = x + 1 on the interval [0, 2]. What is ? Use a table of values to show that f(x) → 2 as x → 1.
Begin by constructing a set of data points as follows:
It is easy to see that we can get f(x) as close to 2 as we want by picking x ...