Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What is the limit as x approaches 0 of sin(1/x)?
What is the limit as x approaches 0 of sin(1/x)?
DNE
What is the limit as x approaches infinity of sin(1/x)?
What is the limit as x approaches infinity of sin(1/x)?
0
What is the limit as x approaches 0 of sin(x)/x?
What is the limit as x approaches 0 of sin(x)/x?
1
What is the limit as x approaches 0 of sin(ax)/ax?
What is the limit as x approaches 0 of sin(ax)/ax?
Signup and view all the answers
What is the limit as x approaches 0 of sin(ax)/bx?
What is the limit as x approaches 0 of sin(ax)/bx?
Signup and view all the answers
What is the limit as x approaches 0 of tan(x)/x?
What is the limit as x approaches 0 of tan(x)/x?
Signup and view all the answers
What is the limit as x approaches 0 of tan(ax)/ax?
What is the limit as x approaches 0 of tan(ax)/ax?
Signup and view all the answers
What is the limit as x approaches 0 of tan(ax)/bx?
What is the limit as x approaches 0 of tan(ax)/bx?
Signup and view all the answers
What is the limit as x approaches 0 of (1-cos(x))/x?
What is the limit as x approaches 0 of (1-cos(x))/x?
Signup and view all the answers
What is the limit as x approaches 0 of (1-cos(ax))/ax?
What is the limit as x approaches 0 of (1-cos(ax))/ax?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Special Limits
Sine Functions
- The limit as x approaches 0 of sin(1/x) does not exist (DNE)
- The limit as x approaches infinity of sin(1/x) is 0
- The limit as x approaches 0 of sin(x)/x is 1
- The limit as x approaches 0 of sin(ax)/ax is 1
- The limit as x approaches 0 of sin(ax)/bx is a/b
Tangent Functions
- The limit as x approaches 0 of tan(x)/x is 1
- The limit as x approaches 0 of tan(ax)/ax is 1
- The limit as x approaches 0 of tan(ax)/bx is a/b
Cosine Functions
- The limit as x approaches 0 of (1-cos(x))/x is 0
- The limit as x approaches 0 of (1-cos(ax))/ax is 0
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
