PPT - Limits & Continuity - 2 Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

 Page 1


Limits and Continuity – Intutive Approach–  
Chapter 8 
Paper 4: Quantitative Aptitude- Mathematices 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
Page 2


Limits and Continuity – Intutive Approach–  
Chapter 8 
Paper 4: Quantitative Aptitude- Mathematices 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
Limits    
• Fundamental Knowledge  
• Its application 
2 
Page 3


Limits and Continuity – Intutive Approach–  
Chapter 8 
Paper 4: Quantitative Aptitude- Mathematices 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
Limits    
• Fundamental Knowledge  
• Its application 
2 
Concept of Limit 
 x tends to zero or x ? 0    
x tends to a finite quantity or x ? b  
x tends to a infinity or x ? 8  
3 
Page 4


Limits and Continuity – Intutive Approach–  
Chapter 8 
Paper 4: Quantitative Aptitude- Mathematices 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
Limits    
• Fundamental Knowledge  
• Its application 
2 
Concept of Limit 
 x tends to zero or x ? 0    
x tends to a finite quantity or x ? b  
x tends to a infinity or x ? 8  
3 
Meaning of x tends to zero 
Suppose that the maid of Neeta has to pay a debt of Rs. 
104 to Neeta. She pays 50% of a debt every month, when 
she will be able to repay the whole amount of debt.  
 
Solution: 
Let x be the debt at the end of the any month.  
At the end of 1
st
 month, x = Rs. 52 
At the end of 2
nd
 month, x = Rs. 26 
At the end of 3
rd
 month, x = Rs. 13 
 
 
4 
Page 5


Limits and Continuity – Intutive Approach–  
Chapter 8 
Paper 4: Quantitative Aptitude- Mathematices 
Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) 
 
 
 
 
 
Limits    
• Fundamental Knowledge  
• Its application 
2 
Concept of Limit 
 x tends to zero or x ? 0    
x tends to a finite quantity or x ? b  
x tends to a infinity or x ? 8  
3 
Meaning of x tends to zero 
Suppose that the maid of Neeta has to pay a debt of Rs. 
104 to Neeta. She pays 50% of a debt every month, when 
she will be able to repay the whole amount of debt.  
 
Solution: 
Let x be the debt at the end of the any month.  
At the end of 1
st
 month, x = Rs. 52 
At the end of 2
nd
 month, x = Rs. 26 
At the end of 3
rd
 month, x = Rs. 13 
 
 
4 
Meaning of x tends to zero – Continued  
5