informative lesson for the learners of mathematics at hssc level Mr Sadiq Hussain professor of mathematics Manjaanbazam cadet college Ghazi Terbela

2. CONCEPT
LIMIT THEOREM
By
Prof. SADIQ HUSSAIN
Manjanbazam Cadet
College
Ghazi,TarbelaCantt.
Presentation on concept Delivery

3. PRIOR KNOWLEDGE
 Student should have knowledge of the concept of the
trigonometry.
 Area of a sector of a circle.
 Rule of finding area of a triangle when its two sides
and its included angle is known.
 Area of a right-angled triangle when its angle and
adjacent side is known.
 Basic rules of in-equalities.
 Basic concept of limit of a trigonometric function.

4. Ojectives of the lesson.
 Student will be able to understand:
 The concept of lmit theorem.
 The concept of limit of trigonometic
Functions,i.e.

5. THE AIM
 To teach the student ‘The Sand-witch Theorem’
0
sin
lim 1
θ
θ
θ→
=

6. INTRODUCTION
 Some examples will be shown the class:
 Area of a triangle when its two sides & its included
angle is given.
 What is area of triangle?.
 For area of different triangle two sides and included angle play video

Area of a Triangle - 2 Sides & Included Angle.webm

7. INTRODUCTION…contd
Q. Student will be asked to find area of a sector?
For finding the area of a sector play this video plz
How do we Find the Area of a Sector- - YouTube.mkv

8. INTRODUCTION…contd

9. INTRODUCTION…contd
Students will be shown real picture of sandwich

10. THE LESSON AIM
 Now the aim of the lesson will be announced, Student
today we will study .
 concept of ‘The sandwich Theorem’.

11. To prove the sine limit

12. DEVELOPMENT
Let f.g and h be functions such that,f(x)≤g(x)≤h(x).

13. DEVELOPMENT …contd
Hence the required result.
Remark;
In this result ‘angle will be measured in radian’
0
sin
lim 1
θ
θ
θ→
=

14. Explanation of limit properties.

15. Examples.

16. Contd……..

17. Contd…..

18. Examples for class practice.

19. Recapitulation

An oral recap will be carried in about three minutes which will
cover the following points’;

Students will be asked about an difficulty if they have any.

Students will be asked why ‘LIMIT THEOREM’ is important in
calculus.

Why sand-witch theorem is needed in Limit Theorem.

20. Homework
Q.1 Evaluate the following.

21. THANK YOU