Calculating Limits Algebraically
Grade 11th Grade · Math · 45 min
What's Included
Learning Objective
I can calculate limits of functions using algebraic properties and manipulation.
Warm-Up Video
Sipnayan · 10:18
CALC1.09 Properties of Limits | Laws of Limits Part 1 [English subtitles]
Guided Notes
3 key concepts
- 1
When finding the limit of the sum, product, or quotient of two functions, you can find the limits of each function separately and then apply the corresponding operation.
- 2
For polynomial functions, the limit as x approaches a value 'a' can be found by substituting 'a' directly into the function.
- 3
Understanding the properties of limits is crucial because simply substituting values into a function is just arithmetic, not the application of limits, and a conceptual understanding is needed for more advanced calculus.
Practice Questions
7 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“Find the limit of the following rational function as x approaches 2: (x + 3) / (x - 1). Show your work by applying the properties of limits to separate the numerator and denominator before substituting.”
Complete Lesson Package
Get all 3 ready-to-use resources:
