Page 1 Limits and Continuity â€“ Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude- Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Page 2 Limits and Continuity â€“ Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude- Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function â€¢ Fundamental Knowledge â€¢ Its application 2 Page 3 Limits and Continuity â€“ Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude- Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function â€¢ Fundamental Knowledge â€¢ Its application 2 Definition of Function A function is a term used to define relation between variables. A variable y is called a function of a variable x if for every value of x there is a definite value of y. Symbolically y = f(x) We can assign values of x arbitrarily. So x is called independent variable whereas y is called the dependent variable as its values depend upon the value of x. 3 Page 4 Limits and Continuity â€“ Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude- Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function â€¢ Fundamental Knowledge â€¢ Its application 2 Definition of Function A function is a term used to define relation between variables. A variable y is called a function of a variable x if for every value of x there is a definite value of y. Symbolically y = f(x) We can assign values of x arbitrarily. So x is called independent variable whereas y is called the dependent variable as its values depend upon the value of x. 3 Types of Functions 1. Even Function â€“ A function f(x) is said to be even function if f(-x) = f(x) e.g. f(x) = 2x 2 + 4x 4 f(-x) = 2(-x) 2 + 4(-x) 4 = 2x 2 + 4x 4 = f(x) Hence 2x 2 + 4x 4 is an even function. 4 Page 5 Limits and Continuity â€“ Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude- Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function â€¢ Fundamental Knowledge â€¢ Its application 2 Definition of Function A function is a term used to define relation between variables. A variable y is called a function of a variable x if for every value of x there is a definite value of y. Symbolically y = f(x) We can assign values of x arbitrarily. So x is called independent variable whereas y is called the dependent variable as its values depend upon the value of x. 3 Types of Functions 1. Even Function â€“ A function f(x) is said to be even function if f(-x) = f(x) e.g. f(x) = 2x 2 + 4x 4 f(-x) = 2(-x) 2 + 4(-x) 4 = 2x 2 + 4x 4 = f(x) Hence 2x 2 + 4x 4 is an even function. 4 Types of Functions - Continued 2. Odd Function â€“ A function is said to be odd function if f(-x) = - f(x) e.g. f(x) = 3x + 2x 5 f(-x) = 3(-x) + 2(-x) 5 = -3x - 2 x 5 = - (3x + 2 x 5 ) = - f(x) Hence 3x + 2 x 5 is an odd function. 5Read More

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### PPT - Limits & Continuity (Part - 2)

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