2. Functions and Limit

Khyber Pakhtunkhwa Board > Class 12 > Math (Total Videos: 576)

Show Content

Select a chapter above and press 'Show Content'. Click a video topic below to view.

Chapter 2: 2. Functions and Limit (73 videos)   (Practice Test)
2.1: 2.1-Functions  (Practice Test)
  1. Introduction to Function
  2. More on Introduction to Functions
  3. Problem3-Introduction to Function
  4. Problem4-Introduction to Function
  5. Domain & Range of Binary Relation
  6. Finding Domain and Range of Functions
  7. Finding Domain and Range from the graph of a function
  8. More on Finding Domain and Range from the graph of a function
  9. The Modulus of a Function
2.2: 2.2-Composition of Functions
  1. Composition of a Functions
  2. Problem-Composition of Functions
2.3: 2.3-Inverse of Composition Functions  (Practice Test)
  1. Inverse of a Function
  2. More on Inverse of a Functions
  3. Problem-Inverse of a Function
  4. Algebraic Method to find the Inverse Function
  5. Problem-Algebraic Method to find the Inverse Function
2.4: 2.4-Transcendental Functions  (Practice Test)
  1. Algebraic Functions
  2. Trigonometric Functions
  3. Operations on Residue Classes Modulo n
  4. Properties of Binary Operations
  5. More on Logarithmic Functions
  6. Law of Change of Base of Logarithm
  7. Problem 1: Law of Change of Base of Logarithm
  8. Product Law of Logarithm
  9. Problem 1: Product Law of Logarithm
  10. Power Law of Logarithm
  11. Problem 1: Power Law of Logarithm
  12. Quotient Law of Logarithm
  13. Problem 1: Quotient Law of Logarithm
  14. Hyperbolic Functions
  15. Explicit and Implicit Functions
  16. Parametric Functions
2.5: 2.5-Graphical Representation of Functions  (Practice Test)
  1. Graph of the Exponential Function
  2. Problem1-Graph of the Exponential Function
  3. More on Graph of Exponential Function
  4. Problem1-More on Graph of Exponential Function
  5. Graph of Common Logarithmic Function
  6. Problem1-Graph of Common Logarithmic Function
  7. Graph of Natural Logarithmic Function
  8. Problem1-Graph of Natural Logarithmic Function
  9. Graph of Parametric Equations
  10. Problem1-Graph of Parametric Equations
  11. Graphs of Discontinuous Functions
  12. Problem1-Graphs of Discontinuous Functions
2.6: 2.6-Limiit of a Function  (Practice Test)
  1. Depiction of Real Number on Number Line
  2. Trichotomy Property of Inequality
  3. Problem-Trichotomy Property of Inequality
  4. Problem 1: Trichotomy Property of Inequality
  5. Defining Interval
  6. Defining Closed, Open, Half Open and Half Closed Interval
  7. Meaning of the Phrase 'x' Approaches zero, Infinity
  8. Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
  9. Theorems on Limit of Functions
  10. Defining Sequence and Limit of Sequence
  11. Bounded Set and Monotonic Sequence
  12. Convergent and Divergent Sequence
  13. Limit Theorem of Sequence
  14. More on Limit Theorem of Sequence
  15. Concept of a Limit of a Function
  16. Problem-Concept of Limit of a Function
  17. Evaluate Limits of Different Algebraic, Exponential & Trigonometric F
2.7: 2.7-Important Limits  (Practice Test)
  1. Method for Evaluating the Limits at Infinity
  2. Problem-Method for Evaluating the Limits at Infinity
  3. Deducting Formulae at Limit Approaches to 0 and infinity
  4. Problem-Deducting Formulae at Limit Approaches to 0 and infinity
2.8: 2.8-Continuous and Discontinuous Functions  (Practice Test)
  1. One-Sided Limits
  2. Criterion for Existence of Limit of a Function
  3. Problem1-Criterion for Existence of Limit of a Function
  4. Using graph to estimate Limit
  5. More on Using graph to estimate Limit
  6. Continuity of a Function at a Number
  7. Test Continuity and Discontinuity of a Function at a Point in an Inte
  8. Problem-Test Continuity & Discontinuity of Function at a Point