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## CBSE Guide Limits And Derivatives class 11 Maths Notes

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## Limits And Derivatives class 11 Notes Mathematics

Download CBSE class 11th revision notes for Chapter 13 Limits And Derivatives class 11 Notes Mathematics in PDF format for free. Download revision notes for Limits And Derivatives class 11 Notes Mathematics and score high in exams. These are the Limits And Derivatives class 11 Notes Mathematics prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.

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**CBSE Class 11 Mathematics Revision Notes Chapter 13 Limits And Derivatives**

**Limits****Derivatives****Miscellaneous Questions**

**Meaning of **“, or “ tends to ” or “ approaches **is a variable**. The expected value of the function as dictated by the points to the left of a point defines the left hand limit of the function at that point. Similarly the right hand limit. It can be changed so that its value comes nearer and nearer to **. **

(i)

, (ii) becomes smaller and smaller as we please.**Neighbourhood**: The set of all real numbers lying between and is called the neighbourhood of . Neighbourhood of =

**Limit**of a function at a point is the common value of the left and right hand limits, if they coincide

**Left hand limit of ** at . When approches from left hand side of , the function tends to “a definite number”. This definite number is said to be the left hand limit of at .

**Right hand limit of ** at . When approches from right hand side of , the function tends to “a definite number”. This definite number is said to be the right hand limit of at .

Therefore, if Left hand limit of

at = Right hand limit of at , then the limit of at exists.- For function f and a real number a, and f (a) may not be same (Infact, one may be defined and not the other one).
- For functions f and g the following holds:.

### Following are some of the standard limits

,

**Derivatives**

The derivative of a function f at a is defined by

Derivative of a function f at any point x is defined by

For functions u and v the following holds:

provided all are defind.

### Following are some of the standard derivatives

## Limits And Derivatives class 11 Notes

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