
Understanding Limits: A Formal Approach

Interactive Video
•

Sophia Harris
•
Mathematics
•
11th Grade - University
•
Hard
08:02
10 questions
Show all answers
1.
MULTIPLE CHOICE
30 sec • 1 pt
What is the condition for a limit to exist as x approaches a specific value?
2.
MULTIPLE CHOICE
30 sec • 1 pt
In the formal definition of a limit, what does epsilon represent?
3.
MULTIPLE CHOICE
30 sec • 1 pt
What is the role of delta in the epsilon-delta definition of a limit?
4.
MULTIPLE CHOICE
30 sec • 1 pt
How is the relationship between epsilon and delta used in proving limits?
5.
MULTIPLE CHOICE
30 sec • 1 pt
In the example provided, what is the limit of the function 1/3x + 1 as x approaches 6?
6.
MULTIPLE CHOICE
30 sec • 1 pt
What is the first step in proving a limit using the epsilon-delta definition?
7.
MULTIPLE CHOICE
30 sec • 1 pt
Why do we manipulate the inequality in the proof process?
8.
MULTIPLE CHOICE
30 sec • 1 pt
What does the final step of the proof demonstrate?
9.
MULTIPLE CHOICE
30 sec • 1 pt
What is the significance of working from right to left in the proof?
10.
MULTIPLE CHOICE
30 sec • 1 pt
What is the purpose of factoring out constants in the proof process?
Explore all questions with a free account
Find a similar activity
Create activity tailored to your needs using
Understanding the Fundamental Theorem of Calculus Part Two

•
11th Grade - University
Use the definition of a derivative of a natural logarithm to evaluate

•
11th Grade - University
Differential and True Change in Functions

•
11th Grade - University
Limits, L'Hopital's rule, and epsilon delta definitions: Essence of Calculus - Part 7 of 11

•
11th Grade - University
Understanding Limits and Derivatives

•
11th Grade - University
Understanding Limits and the Epsilon-Delta Definition

•
10th - 12th Grade
Understanding the Derivative of Natural Logarithm

•
10th - 12th Grade
Understanding Derivatives in Calculus

•
10th - 12th Grade