LECTURE 5 LIMITS CHAPTER 4 CLASS 11

Limits
What is limits
Describe limits
Method to solve limits: -
1. Direct Substitution Method
2. Factorization Method
3. Rationalization Method
4. Limits of Expression of a standard form
5. Limits of Trigonometric Functions
6. Some Standard Limits
The chapter on Limits in Class 11 Mathematics typically covers the fundamental concepts and techniques related to limits, which are essential for understanding calculus. Here is a detailed description and the key formulas involved:
Description of Limits
The limit of a function f(x) as x approaches a particular value a is the value that f(x) gets closer to as x gets closer to a.
Existence of Limits
Infinite Limits and Limits at Infinity
- Infinite Limits:
- Limits at Infinity:
Algebra of Limits
- Sum Rule:
- Difference Rule:
- Product Rule:
- Quotient Rule:
- Constant Multiple Rule:
Standard Limits:
Techniques of Evaluating Limits:
- Factoring: Simplify the expression by factoring.
- Rationalization: Use conjugates to simplify.
Power and Root:
Lim x tends to a [f(x)]^n = [lim x tend to a f(x)]^n
Exponential and Logarithmic: