Solved MCQ on Function of Two Variables | Limit and Continuity | Real Analysis | BSc Mathematics

In this video lecture, theory and solved Multiple Choice Questions (MCQ) on the function of two variables have been discussed in HINDI.
BSc Mathematics semester-III
Mathematics paper-V ( Advanced Calculus )
Unit-3 : Function of two variables (Limit and continuity)
Sgbau, amravti university winter 2020 exam
Must watch before any university exam or any MCQ type Exam. Very helpful and easily explained for BSc 2nd year students (B.Sc. Semester III) Sant Gadge Baba Amravati University (SGBAU), Amravati, RTMNU, Nagpur University, Gondwana University, YCMOU BSc Exam. Also, helpful for Maharashtra SET Mathematics and NET Mathematical Science Examination.
In the first part of the video, we revised the concepts for the limit of a function of two variables and solved the MCQs on the limit of a function.
In 2nd part of the video, we see the concept of continuity for the function of two variables and Solved MCQs on continuity of function.
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Timestamps 🕔
[00:42] :- Neighbourhood and Limit of a function
[06:10] :- Solved MCQ on Limit of function
[10:30] :- Continuity of function of two variables
[13:00] :- Solved MCQ on Continuity of function
Content:
Limit of the function of two variables:
In the case of the function of two variables, there are two types of limits: Simultaneous limit or double limit and repeated limit or iterated limit.
Relation between simultaneous and repeated or iterated limits: simultaneous limit of a function exists at a point then iterated
limit exits and are equal at that point but it's converse need not be true.
By taking the contraposition statement of above, we get the condition for the non-existence of the simultaneous limit: if iterated limits of a function are not equal at the point then limit
does not exist at that point.
The uniqueness of limit :
If the limit of a function of two variables exists then it is unique.
Continuity:
The function is continuous at a point if the limiting value is equal to the exact value at that point.
Algebra of continuous function:
The sum of two continuous function is again continuous. Product of two continuous functions us again continuous. And then Intermediate value theorem and Fixed point theorem for the function of two variables is discussed.
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Content:
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[@komalkomal2847]

It was helpfull thank you 🙏🏻

[@thibakarrasu1786]

❤

[@aryankatju9395]

Sir one variables ka bhi video bnao na

[@AkshayJenekar]

MCQs on Limit & continuity of function of one variable : 👇
ua-cam.com/video/s-cbQgmo9ms/v-deo.html

[@anandjaiswal9326]

Sir, please,bsc sem5math paper9 th and paper10 th chi mcq based test seris aayojit kara, atleast 2test series , please sir from ku jaiswal

[@AkshayJenekar]

Okay.