Grade 11 Exam > Grade 11 Videos > Mathematics for Grade 11 > Limits of Trigonometric Functions (includes Sandwich Theorem and Example)
Limits of Trigonometric Functions (includes Sandwich Theorem and Example) Video Lecture | Mathematics for Grade 11
|
157 videos|215 docs|132 tests
|
FAQs on Limits of Trigonometric Functions (includes Sandwich Theorem and Example) Video Lecture - Mathematics for Grade 11
| 1. What are the limits of trigonometric functions? |  |
Ans. The limits of trigonometric functions refer to the values that these functions approach as the input approaches a certain value. For example, the limit of the sine function as the input approaches infinity is 1, and as the input approaches negative infinity, the limit is -1.
| 2. How can the Sandwich Theorem be used to find the limits of trigonometric functions? | |
Ans. The Sandwich Theorem, also known as the Squeeze Theorem, is a powerful tool for finding limits. To use it for trigonometric functions, you can find two simpler functions that "sandwich" the trigonometric function and have the same limit at a certain point. By applying the Sandwich Theorem, you can determine the limit of the trigonometric function.
| 3. Can you provide an example of finding the limit of a trigonometric function using the Sandwich Theorem? | |
Ans. Sure! Let's find the limit of the function f(x) = sin(x)/x as x approaches 0. We can sandwich this function between the bounds g(x) = -1 and h(x) = 1, which are the bounds for the sine function. Since both -1 and 1 have the same limit as x approaches 0, by the Sandwich Theorem, the limit of f(x) must also be the same, which is 0.
| 4. Are there any specific conditions or restrictions when using the Sandwich Theorem for trigonometric functions? | |
Ans. Yes, there are a few conditions to keep in mind when using the Sandwich Theorem. Firstly, the bounds functions used to sandwich the trigonometric function should have the same limit at the desired point. Additionally, the bounds functions should be simple enough to evaluate and compare their limits. Lastly, it's important to ensure that the bounds functions are valid for the entire interval of interest.
| 5. Is the Sandwich Theorem the only method to find the limits of trigonometric functions? | |
Ans. No, the Sandwich Theorem is not the only method to find the limits of trigonometric functions. Other common methods include direct substitution, factoring, rationalizing, and using trigonometric identities. The choice of method depends on the specific function and the limit being evaluated. It's always a good idea to explore different approaches to find the most efficient method for a particular problem.
About this Video
|
4.91/5 Rating |
|
Nov 17, 2024 Last updated |
Video Description: Limits of Trigonometric Functions (includes Sandwich Theorem and Example) for Grade 11 2024 is part of Mathematics for Grade 11 preparation.
The notes and questions for Limits of Trigonometric Functions (includes Sandwich Theorem and Example) have been prepared according to the Grade 11 exam syllabus.
Information about Limits of Trigonometric Functions (includes Sandwich Theorem and Example) covers all important topics for Grade 11 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Limits of Trigonometric Functions (includes Sandwich Theorem and Example).
Introduction of Limits of Trigonometric Functions (includes Sandwich Theorem and Example) in English is available as part of our Mathematics for Grade 11 for Grade 11 & Limits of Trigonometric Functions (includes Sandwich Theorem and Example) in
Hindi for Mathematics for Grade 11 course. Download more important topics related with notes, lectures and mock test series for
Grade 11 Exam by signing up for free.
Description
Video Lecture & Questions for Limits of Trigonometric Functions (includes Sandwich Theorem and Example) Video Lecture | Mathematics for Grade 11 - Grade 11 full syllabus preparation | Free video for Grade 11 exam to prepare for Mathematics for Grade 11.
Information about Limits of Trigonometric Functions (includes Sandwich Theorem and Example)
Here you can find the meaning of Limits of Trigonometric Functions (includes Sandwich Theorem and Example) defined & explained in the simplest way possible.
Besides explaining types of Limits of Trigonometric Functions (includes Sandwich Theorem and Example) theory, EduRev gives you an ample number of questions to practice Limits of Trigonometric Functions (includes Sandwich Theorem and Example) tests,
examples and also practice Grade 11 tests.
|
157 videos|215 docs|132 tests
|
|
Explore Courses for Grade 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Exam
,Extra Questions
,Limits of Trigonometric Functions (includes Sandwich Theorem and Example) Video Lecture | Mathematics for Grade 11
,Limits of Trigonometric Functions (includes Sandwich Theorem and Example) Video Lecture | Mathematics for Grade 11
,Previous Year Questions with Solutions
,shortcuts and tricks
,Semester Notes
,study material
,Summary
,practice quizzes
,ppt
,video lectures
,MCQs
,Viva Questions
,Sample Paper
,Important questions
,past year papers
,Free
,Limits of Trigonometric Functions (includes Sandwich Theorem and Example) Video Lecture | Mathematics for Grade 11
,Objective type Questions
,mock tests for examination
;
Study Limits of Trigonometric Functions (includes Sandwich Theorem and Example) on the App
Students of Grade 11 can study Limits of Trigonometric Functions (includes Sandwich Theorem and Example) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Limits of Trigonometric Functions (includes Sandwich Theorem and Example),
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Limits of Trigonometric Functions (includes Sandwich Theorem and Example) is prepared as per the latest Grade 11 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup