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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Categories: mathematicsmathematics chemistrychemistry
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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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