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Common Errors in Secondary Mathematics

Common Errors Committed  by the  Students  in Secondary Mathematics   Errors  that students often make in doing secondary mathematics  during their practice and during the examinations  and their remedial measures are well explained here stp by step.  Some Common Errors in Mathematics

Math Assignment Class XI Ch-13 | Limits

Math Assignment Class XI | Chapter 13 | Limits

Math Assignment Class XI Chapter 13 Limits and derivatives, Extra questions on Limits strictly according to the CBSE & DAV Board, Important questions on limits.


Math Assignment Class XI | Chapter 13 | 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


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