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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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