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# PPT - Limits & Continuity (Part - 3) CA Foundation Notes | EduRev

## Quantitative Aptitude for CA CPT

Created by: Wizius Careers

## CA Foundation : PPT - Limits & Continuity (Part - 3) CA Foundation Notes | EduRev

``` Page 1

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

Page 2

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

Continuity
• Fundamental Knowledge
• Its application
2
Page 3

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

Continuity
• Fundamental Knowledge
• Its application
2
Concept of Continuity
A function is said to be continuous at a point x = a if
(i) f(x) is defined at x = a
(ii)
(iii)
i.e. L.H.L = R.H.L = value of the function at x = a
3
Page 4

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

Continuity
• Fundamental Knowledge
• Its application
2
Concept of Continuity
A function is said to be continuous at a point x = a if
(i) f(x) is defined at x = a
(ii)
(iii)
i.e. L.H.L = R.H.L = value of the function at x = a
3
Discontinuous Function
4
Page 5

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

Continuity
• Fundamental Knowledge
• Its application
2
Concept of Continuity
A function is said to be continuous at a point x = a if
(i) f(x) is defined at x = a
(ii)
(iii)
i.e. L.H.L = R.H.L = value of the function at x = a
3
Discontinuous Function
4
Properties of Continuous Functions
(i) If f(x) and g(x) are both continuous at a point x=a, then
f(x)+g(x) is also continuous.
(ii) If f(x) and g(x) are both continuous at a point x=a then
f(x) – g(x) is also continuous.
(iii) If f(x) and g(x) are both continuous at a point x=a then
their  product f(x) . g(x) is also continuous at x = a.
(iv) If f(x) and g(x) are both continuous at a point x=a then
their quotient f(x)/ g(x)  is also continuous at x=a and
g(a) ? 0.
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