## CBSE Class 11 Maths Notes Chapter 13 Limits and Derivatives

**Limit**

Let y = f(x) be a function of x. If at x = a, f(x) takes indeterminate form, then we consider the values of the function which is very near to a. If these value tend to a definite unique number as x tends to a, then the unique number so obtained is called the limit of f(x) at x = a and we write it as \(\lim _{ x\rightarrow a }{ f(x) }\).

**Left Hand and Right-Hand Limits**

If values of the function at the point which are very near to a on the left tends to a definite unique number as x tends to a, then the unique number so obtained is called the left-hand limit of f(x) at x = a, we write it as

**Existence of Limit**

**Some Properties of Limits**

Let f and g be two functions such that both \(\lim _{ x\rightarrow a }{ f(x) }\) and lim \(\lim _{ x\rightarrow a }{ g(x) }\) exists, then

**Some Standard Limits**

**Derivatives**

Suppose f is a real-valued function, then

**Fundamental Derivative Rules of Function**

Let f and g be two functions such that their derivatives are defined in a common domain, then

**Some Standard Derivatives**

### Maths Notes For Class 11 PDF Chapterwise

- Chapter 1 Sets Class 11 Notes
- Chapter 2 Relations and Functions Class 11 Notes
- Chapter 3 Trigonometric Functions Class 11 Notes
- Chapter 4 Principle of Mathematical Induction Class 11 Notes
- Chapter 5 Complex Numbers and Quadratic Equations Class 11 Notes
- Chapter 6 Linear Inequalities Class 11 Notes
- Chapter 7 Permutations and Combinations Class 11 Notes
- Chapter 8 Binomial Theorem Class 11 Notes
- Chapter 9 Sequences and Series Class 11 Notes
- Chapter 10 Straight Lines Class 11 Notes
- Chapter 11 Conic Sections Class 11 Notes
- Chapter 12 Introduction to Three Dimensional Geometry Class 11 Notes
- Chapter 13 Limits and Derivatives Class 11 Notes
- Chapter 14 Mathematical Reasoning Class 11 Notes
- Chapter 15 Statistics Class 11 Notes
- Chapter 16 Probability Class 11 Notes