4.3 Limits

Lecture Outline

Introduction

Computing limits graphically

Computing limits graphically

One-sided limits

One-sided limits

One-sided and two-sided limits

Your turn!

Indeterminations

Example 6:

Example 8:

Solution:

Example 9:

Limits at infinity

End behaviour of a function

Example 10:

Solution:

Your turn!

Your turn!

Infinite limits

Example 11:

Example 12:

Solution:

Solution:

Example 13: Compute lim_(x→0) (sin x)/x

Example 14: Compute lim_(x→0) ( cos⁡x-1)/x

Your turn!

Your turn!

4.3 Limits

Lecture Outline

Introduction

Computing limits graphically

Computing limits graphically

One-sided limits

One-sided limits

One-sided and two-sided limits

Your turn!

Indeterminations

Example 6:

Example 8:

Solution:

Example 9:

Limits at infinity

End behaviour of a function

Example 10:

Solution:

Your turn!

Your turn!

Infinite limits

Example 11:

Example 12:

Solution:

Solution:

Example 13: Compute lim_(x→0) (sin x)/x

Example 14: Compute lim_(x→0) ( cos⁡x-1)/x

Your turn!

Your turn!

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Категории: $Математика$ Математика

Химия

Foundation Year Program NUFYP Mathematics

1. 4.3 Limits

Foundation Year Program
NUFYP Mathematics
4.3 Limits
Inês Russinho Mouga
2019-2020

2. Lecture Outline

Foundation Year Program
Introduction
Air resistance prevents the
velocity of a skydiver from increasing
indefinitely. The velocity approaches the
“terminal velocity”.
When two compounds are combined
in a beaker to form a new compound,
the amount of new compound is the
limit of a function as time goes to infinity.
2019-2020

3. Introduction

Foundation Year Program
Computing limits graphically
When you know how a certain function looks
like, any limit can easily be determined by
following the graph of the function.
Example 1: The function

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