textbook-theory · English
Difference Equations to Differential Equations — Section 1.2: Sequences
Section 1.2 of Dan Sloughter's open calculus text introduces sequences and their limits, developing the formal epsilon-N definition of convergence with worked examples. The section covers limit laws (scalar multiples, sums, products, quotients, and rational powers), criteria for divergence to infinity, and the Monotone Sequence Theorem with illustrative problems. Eighteen pages of theory and exercises make this a self-contained treatment of sequence convergence for a first calculus course.
sequenceslimitsconvergencecalculus