Calculus MTH 250 Lecture 14 Previous Lectures Summary

Calculus (MTH 250) Lecture 14

Previous Lecture’s Summary • Relative Extrema • Extreme Value Theorem • First Derivative Test • Second Derivative test • Rolle’s Theorem • Mean Value Theorem

Today’s Lecture • Introduction to sequences • Limit of sequences • Limits laws for sequences • Monotone sequences • Bounded sequences • Some standard limits

Introduction to sequences

Introduction to sequences

Introduction to sequences

Introduction to sequences Examples: Preceding Notation Defining Formula Terms of Sequence

Introduction to sequences

Introduction to sequences

Limits of sequences

Limits of sequences

Limits of sequences

Limits of sequences

Limits of sequences Example:

Limits of sequences

Limits of sequences

Limits of sequences A sequence that diverges:

Limits of sequences

Limits of sequences

Limits of sequences

Limits of sequences

Limits of sequences

Limits laws for sequences

Limits laws for sequences

Limits laws for sequences

Limits laws for sequences

Limits laws for sequences

Limits laws for sequences

Monotone sequences

Monotone sequences

Monotone sequences

Monotone sequences

Bounded sequences

Bounded sequences

Bounded sequences

Bounded sequences

Some standard limits

Lecture Summary • Introduction to sequences • Limit of sequences • Limits laws for sequences • Monotone sequences • Bounded sequences • Some standard limits