Showing posts with label limits. Show all posts
Showing posts with label limits. Show all posts

Sunday, 14 November 2021

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-3) Questions and Answers #class11Maths #Limits #eduvictors

CBSE Class 11 - Mathematics - Limits and Derivatives 

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-3) Questions and Answers #class11Maths #Limits #eduvictors

Part-3  Algebra of Limits  

#class11Maths #Limits 

In the previous post Limits and derivatives Part-2, we get basic ideas of the algebra of limits and also learned about rules and properties of limits.


Let us try to solve few problems:


Q1: Evaluate the given limit $\lim_{r\rightarrow 1} \pi r^2$

Answer: $\lim_{r\rightarrow 1} \pi r^2 = \pi(1)^2 = \pi$


Wednesday, 10 November 2021

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-2) Questions and Answers #class11Maths #Limits #eduvictors

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-2) 

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-2) Questions and Answers #class11Maths #Limits #eduvictors


Questions and Answers                                                                     #class11Maths #Limits 


In the previous blog post Limits and derivatives Part-1 , we learn


$\lim_{x\rightarrow a} f(x) = l$ and it is called limit of the function f(x)


The two ways x could approach a number an either from left or from right, i.e., all the values of x near a could be less than a or could be greater than a.


In this case the right and left hand limits are different, and hence we say that the limit of f(x) as x tends to zero does not exist (even though the function is defined at 0).

Saturday, 6 November 2021

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-1) Questions and Answers #class11Maths #Limits #eduvictors

CBSE Class 11 - Mathematics - Limits and Derivatives

Part-1 - Questions and Answers

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-1) Questions and Answers #class11Maths #Limits #eduvictors

Q1: Define Calculus.

Answer: Calculus is that branch of mathematics that mainly deals with the study of change in the value of a function as the points in the domain change. 


👉Note: The chapter "Limits and Derivatives" is an introduction to Calculus.

👉Calculus is a Latin word meaning ‘pebble’. Ancient Romans used stones for counting.


Q2: Who are called pioneers of Calculus (who invented Calculus)?

Answer: Issac Newton (1642 - 1727) and G. W. Leibnitz(1646 - 1717).

Both of them were invented independently around the 17th century.



Q3: What is the meaning of 'x tends to a' or x → a?

Answer: When x tends to a (x  → a), x is nearly close to a but never equals to a.

e.g. x → 3 means the value of x maybe 2.99 or 2.999 or 2.999...9 is very close to 3 but not exactly equal to 3. Similarly, x may be 3.01, 3.001, 3.0001... from the right side and gets closer to 3.