Home Site Map Contact Us
Rapid Learning Member Login  
Rapid Learning Blog Rapid Learning on Facebook Rapid Learning on Youtube Rapid Learning on Twitter
 How to Learn in 24 Hours?

 Need Help?
M-F: 9am-5pm(PST):
Toll-Free: (877) RAPID-10
or 1-877-727-4310

24/7 Online Technical Support:
The Rapid Support Center
vip@rapidlearningcenter.com

Secure Online Order:
Buy Now

 

 Got Questions?
Frequently Asked Questions
 Need Proof?
Testimonials by Our Users

Trustlink is a Better Business Bureau Program.
Rapid Learning Center is a fivr-star business.

External TrustLink Reviews




 Member Login:
User ID: 
Password: 
 

 Rapid Learning Courses:

MCAT in 24 Hours (2021-22)

USMLE in 24 Hours (Boards)

Chemistry in 24 Hours

Biology in 24 Hours

Physics in 24 Hours

Mathematics in 24 Hours

Psychology in 24 Hours

SAT in 24 Hours

ACT in 24 Hours

AP in 24 Hours

CLEP in 24 Hours

DAT in 24 Hours (Dental)

OAT in 24 Hours (Optometry)

PCAT in 24 Hours (Pharmacy)

Nursing Entrance Exams

Certification in 24 Hours

eBook - Survival Kits

Audiobooks (MP3)


 Tell-A-Friend:
Have friends taking science and math courses too? Tell them about our rapid learning system.



Limits and Rates of Change

Topic Review on "Title":

Definition of limits:

Let be a function,  is the limit of  at the point if and only if for any , there is a such that whenever satisfies .

Limit operations:

The sum of the limits of two functions is equal to the sum of the first limit plus the sum of the second limit.

The product of the limits of two functions is equal to the first limit times the second limit.

The quotient of the limits of two functions is equal to first limit divided by the second limit.

 Definition of continuity of functions:

Let be a function, is said to be continuous at if exists and .

 

Derivative Operations:

Let be functions. If and are both differentiable at then

1)  is differentiable at and

2)  is differentiable at and

3) If then is differentiable at and .


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial discusses the limits and the rates of change. Knowing the concept of limit process and instantaneous change is important to the formulation of derivatives and approximation of solutions. The different types of limits that one gets are discussed in the graphical illustrations.

Properties of limits and limit operations are presented so an evaluation of limits can be performed. An example of how a function can have no limit but be bounded by 1 is discussed. The principle of continuity relies on limits and it has properties that are useful with the rates of change concept.


Tutorial Features:

Specific Tutorial Features:

• Graphical illustration of one sided limits and the continuity of functions is shown in the examples.
• Typical rate of change problems are introduced with graphical interpretations.

Series Features:

• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.


"Title" Topic List:
Limit of functions
Definition of limits
Limit operations
Properties of limits
One sided limits
Continuity
Definition of the continuity of functions
One sided continuity
Properties of continuous functions
Rate of change
Derivative operations


See all 24 lessons in Pre-Calculus, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Pre-Calculus Visually in 24 Hours

© 2021 Rapid Learning Inc. All rights reserved         Disclaimer | Privacy Policy