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Chapter 1: Function and Limits (37 videos)

1.1: Introduction ( Numbers Systems )
1. Definition & Notation of Some Important Sets
 
1.2: Intervals
1. Defining Interval
2. Defining Closed, Open, Half Open and Half Closed Interval
 
1.3: Modulus Function
1. The Modulus of a Function
 
1.4: Neighbourhood
1. Introduction to Neighbourhood in Intervals
 
1.5: Binary Relation
1. Introduction to Binary Relation
2. Problem-Introduction to Binary Relation
3. Problem 1: Introduction to Binary Relation
4. Domain & Range of Binary Relation
5. Problem-Domain & Range of Binary Relation
6. Problem 1: Domain & Range of Binary Relation
 
1.6: Functions
1. Introduction to Function
2. Problem 1: Introduction to Function
3. More on Introduction to Functions
 
1.7: Inverse Function
1. Inverse of a Function
 
1.8: Concept of Function in Terms of Variables
1. Introduction to Function
 
1.9: Algebra of Functions
1. Algebraic Functions
 
1.10: Polynomial Function
1. Algebraic Functions
 
1.11: Rational Function
1. Constant, Identity and Rational Functions
 
1.12: Composite Function
1. Composition of a Functions
 
1.13: Even and Odd Function
1. Even and Odd Functions
 
1.14: Circular Trigonometric Function
1. Trigonometric Functions
 
1.15: Inverse Trigonometric Function
1. Introduction to Binary Operations
 
1.16: Formulization of Functions
1. Formulization of Functions
 
1.17: Graph of a Relation and of a Function
1. Graphical Representation of Functions
 
1.18: Sequence
1. Defining Sequence and Limit of Sequence
 
1.19: Limit of Sequence
1. Defining Sequence and Limit of Sequence
 
1.20: Bounded Set and Monotonic Sequence
1. Bounded Set and Monotonic Sequence
 
1.21: Divergence
1. Convergent and Divergent Sequence
 
1.22: Exponential Function
1. Operations on Residue Classes Modulo n
 
1.23: Logarithmic Function
1. Properties of Binary Operations
 
1.24: Infinite Series
1. The Infinite Geometric Series
 
1.25: Meaning of the Phrase 'x' Tends to 'a'
1. Meaning of Phrase x Approaches to a
 
1.26: Limit of Function
1. Concept of a Limit of a Function
 
1.27: Limits as x Tends Infinity
1. Limit at Infinity
2. Method for Evaluating the Limits at Infinity
3. Deducting Formulae at Limit Approaches to 0 and infinity
 

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