skip to main content
UTRGV

The University of Texas Rio Grande Valley

Main Menu
Donate Now Directory myUTRGV

You are here:

UTRGV Calculus UTRGV Calculus Single Inner Page

The Center of Excellence in STEM Education

  • Home
  • About Us
    • Staff Directory
  • News & Events
    • News
    • Calendar
    • Photo Gallery
    • CSTEM Alerts
  • C-STEM K-12 Activities
    • On Campus Visits
    • Mobile Laboratory
    • H-E-B Planetarium
    • Virtual Home Activities
    • Summer Camps 2022
      • Mobile Lab & Science Camps
      • Exploring STEM Summer Camps
  • Resources
    • Student Resources
    • Center Resources
      • Room Reservations
    • Instructional Resources
    • Faculty Resources
    • K-12 Student Resources
    • P2C2-Sessions
      • About
    • Professional Development C-STEM Events
  • Contact Us
  • Donate

Contact Us

C-STEM
Center of Excellence in STEM Education
EMAGC 2.402
Map: Center Location
Email: cstem@utrgv.edu
Phone: (956) 665-STEM (7836)
Phone Alt: (956) 665-7320

Quick Links

CSTEM Alerts Reserve the C-STEM Staff Directory C-STEM Mobile Lab H-E-B Planetarium College of Sciences College of Engineering and Computer Science Student Organizations

Limit Laws

utrgvcalculus
  • Home
  • How to Read a Math Textbook
  • Part 1
  • Part 2
  • Additional Instructional Resources
  • Learning Desmos
  • Calculus Applets in Geogebra
  • Electronic flashcards for derivatives/integrals
  • Flashcards on Trig and Calculus topics
  •  
  • Calculus I
  • Functions
  • Definition of Function
  • Domain and Range of a Function
  • Limits
  • The Limit of a Function
  • Limit Laws
  • Continuity
  • Derivatives
  • Defining the Derivative
  • The Derivative Function
  • Tangent Lines and Their Slopes
  • Derivatives as Rates of Change
  • Basic Differentiation Rules
  • Product Rule & Quotient Rule
  • Derivatives of Trigonometric Functions
  • The Chain Rule
  • Implicit Differentiation
  • Logarithmic Differentiation
  • Linear Approximations and Differentials
  • Derivatives of Logarithmic and Exponential Functions
  • Indeterminate Forms and L’Hopital’s Rule
  • Applications of Derivatives
  • Maximum and Minimum Values
  • Related Rates
  • Mean Value Theorem
  • Derivatives and Shapes of Graphs
  • Optimization Problems
  • Integration
  • Approximating Areas
  • The Definite Integral
  • Fundamental Theorem of Calculus
  • Average Value of a Function
  • Integration Formulas
  • Net Change Theorem
  • The Substitution Rule
  •  
  • Calculus II
  • Techniques of Integration
  • Integration By Parts

Limit Laws

Objectives

  • Recognize the basic limit laws. Use the limit laws to evaluate the limit of a function.
  • Evaluate the limit of a function by factoring.
  • Use the limit laws to evaluate the limit of a polynomial or rational function.
  • Evaluate the limit of a function by factoring or by using conjugates.
  • Evaluate the limit of a function by using the squeeze theorem.
The Limit Laws below describe properties of limits which are used to evaluate limits of functions.   Additional information about this image is found in the text below the image.

In the image above, the Limit Laws below describe properties of limits which are used to evaluate limits of functions. 

  • Sum law for limits states that the limit of the sum of two functions equals the sum of the limits of two functions.
  • Difference law for limits states that the limit of the difference of two functions equals the difference of the limits of two functions.
  • Constant multiple law for limits states that the limit of a constant multiple of a function equals the product of the constant with the limit of the function.
  • Product law for limits states that the limit of a product of functions equals the product of the limit of each function.
  • Quotient law for limits states that the limit of a quotient of functions equals the quotient of the limit of each function.
  • Power law for limits states that the limit of the nth power of a function equals the nth power of the limit of the function.
  • Root law for limits states that the limit of the nth root of a function equals the nth root of the limit of the function.

See the Desmos demonstration.

Jump to Top

UTRGV

  • Twitter
  • Facebook
  • LinkedIn
  • YouTube
  • CARES, CRRSAA and ARP Reporting
  • Site Policies
  • Contact UTRGV
  • Required Links
  • Fraud Reporting
  • Senate Bill 18 Reporting
  • UTRGV Careers
  • Clery Act Reports
  • Web Accessibility
  • Mental Health Resources
  • Sexual Misconduct Policy
  • Reporting Sexual Misconduct