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. 5Read More
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