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Math Assignment Class XI Ch-12 | Limits

Math Assignment Class XI | Chapter 12 | Limits

Math Assignment Class XI Chapter 12 Limits and derivatives, Extra questions on Limits strictly according to the CBSE & DAV Board, Important questions on limits.

Math Assignment Class XI | Chapter 12 | Limits

Question 1
Evaluate the  limits:                                                                                                                  
Ans: -1/4
Question 2 : 
Evaluate the  limits:  
Ans: - 1/2

Question 3: 
Evaluate the  limits   
Ans:  -1

Question 4 :    
Evaluate the  limits 
Ans: 0

Question 5:    
Evaluate the  limits  
Ans: 4

Question 6 :    
Evaluate the  limits 
Ans: 9

Question 7 :    

If f(x) =         then find  

Ans: 2
Solution Hint:  Find LHL and RHL

Question 8:    
Evaluate the  limits: 
Ans: 3
Solution Hint:
Use formula:  

Question 9 :    

If    , then find the value of K

Ans:  3/7

Question 10 :    
Evaluate the  limits: 
Ans: 9/2

Question 11 :    

If     then find the value of k

Ans: 8/3

Question 12 : 
Evaluate the  limits: 
Ans: 10

Question 13 :    
Evaluate the  limits: 
Ans: 8

Question 14 :    
Evaluate the  limits: 
Ans: 

Question 15 :    
Evaluate the  limits: 
Ans: 1/2

Question 16 :    
Evaluate the  limits: 
Ans: 1/2

Question 17 :    
Evaluate the  limits: 
Ans: 3/16

Question 18 :    
Evaluate the  limits 
Ans: 3/4

Question 19 :
Evaluate the  limits      

Ans: 1/2

Solution Hint:

Rationalizing the numerator. 

Simplify and then putting the limit.


Question 20 
Ans: 4/3

Question 21 
Evaluate the  limits:  
Ans: 1/2

Question 22
Evaluate the  limits:  
Ans: - 4

Solution Hint

Use  Sin3x = 3sinx – 4sin3x,  

 putting  x = π+h, as x→ π, then h→0


Question 23 
Evaluate the  limits: 

Ans: 2/5
Solution Hint:       = 

                        =     = 2/5 

Question 24
Evaluate the  limits:  
Ans: 1

Question 25
Evaluate the  limits:  
Ans: - √2

Solution Hint:
 = 

                                = 

                                =  

                                =  

                                =   =  

Question 26
Evaluate the  limits:   
Ans: 2
Solution Hint:

                =


               =


               =

               =2 x 1 = 2

Question 27
Evaluate the  limits: 
Ans: Log5.Log2
Solution Hint:

=  

=  

=  

=  

=  Log5.Log2        
Formula used :  

Question 28
Evaluate the  limits:   equation
Ans: -5/16
Solution Hint:

    equation

    = 

    = 

    = 

    =     = 

Question 29
Evaluate the  limits:

Ans: - 4

Solution Hint









Question 30
Evaluate the  limits:  

 
Ans: 2/3
Question 31
Find n if   equation   
Answer: 4
Question 32
Evaluate:   equation   
Answer: 0

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