Limits and Derivatives Class 11 Notes Maths Chapter 13

Class 11 Maths Notes students can refer to the Limits and Derivatives Class 11 Notes Maths Chapter 13 https://www.cbselabs.com/limits-and-derivatives-class-11-notes/ Pdf here. They can also access the CBSE Class 11 Limits and Derivatives Chapter 13 Notes while gearing up for their Board exams.

CBSE Class 11 Maths Notes Chapter 13 Limits and Derivatives

Limits And Derivatives Class 11 Notes Chapter 13

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

Limits And Derivatives Class 11 Notes Pdf Chapter 13

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

Limits Class 11 Notes Chapter 13

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

NCERT Solutions