Chapter 1 Functions And Limits Math 12th Class Punjab Simulations
Math English Medium Book
- +1.1 Introduction
- +1.1.1 Concept of Function
- +1.1.2 Definition (Function - Domain - Range)
- +1.1.3 Notation and Value of Function
- +1.1.4 Graphs of Algebraic Functions
- +1.1.5 Graphs of Functions defined piece-wise
- +1.2 Types of Functions
- +1.2.1 Algebraic Functions
- +1.2.2 Trigonometric Functions
- +1.2.3 Inverse Trigonometric Functions
- +1.2.4 Exponential Function
- +1.2.5 Logarithmic Function
- +1.2.6 Hyperbolic Functions
- +1.2.7 Inverse Hyperbolic Functions
- +1.2.8 Explicit Function
- +1.2.9 Implicit Function
- +1.2.10 Even Function
- +1.2.11 Odd Function
- +1.1 Exercise
- +1.3 Cpmposition of Functions and Inverse of a Function
- +1.3.1 Composition of Functions
- +1.3.2 Inverse of a Function
- +1.3.3 Algebraic method to find the Inverse Function
- +1.2 Exercise
- +1.4 Theorems
- +1.4.1 Meaning of the phrase x approaches zero
- +1.4.2 Meaning of the phrase x approaches infinity
- +1.4.3 Meaning of the phrase x approaches a
- +1.4.4 Concept of limit of a function
- +1.4.5 Limit of a Function
- +1.4.6 Theorems
- +1.5 Limits of important Functions
- +1.5.3 limit at infinity
- +1.5.4 Method for Evaluating the limits at Infinity
- +1.5.7 the sandwitch theorem
- +1.3 Exercise
- +1.6 Continuous and Discontinuous Functions
- +1.6.1 one-sided Limits
- +1.6.2 Criterion for Existence of limit of a Function
- +1.6.3 Continuity of a function at a number
- +1.4 Exercise
- +1.7 Graphs
- +1.7.1 Graph of the Exponential function f(x) = ax
- +1.7.2 Graph of the Exponential function f(x) = ex
- +1.7.3 Graph of common Logarithmic Function f(x)=lgx
- +1.7.4 Graphs of Natural logarithmic Function f(x)=lnx
- +1.7.5 Graphs of implicit Functions
- +1.7.5 Graph of parametric Equations
- +1.7.6 Graphs of Discontinuous Functions
- +1.7.7 Graphical Solution of the Equations
- +1.5 Exercise
Math
12th Class Online Classes 2026
Updated on: 17-05-2026
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12th Class 2026 Online
12th Class 2026
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