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Functions and Limit
Khyber Pakhtunkhwa
Class 12
Math (
Total Videos: 576
)
Preference
All Chapters
Chapter 1: Introduction to Symbolic Package: MAPLE
Chapter 2: Functions and Limit
Chapter 3: Differentiation
Chapter 4: Higher Order Derivatives and Applications
Chapter 5: Differentiation of Vector Functions
Chapter 6: Integration
Chapter 7: Plane Analytic Geometry Straight Line
Chapter 8: Conics-I
Chapter 9: Conics-II
Chapter 10: Differential Equations
Chapter 11: Partial Differentiation
Chapter 12: Introduction to Numerical Methods
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Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 2 Functions and Limit (
73 videos
)
(
Practice Test
)
2.1: Functions (
Practice Test
)
Introduction to Function
33866 views
More on Introduction to Functions
11149 views
Problem3-Introduction to Function
6740 views
Problem4-Introduction to Function
4776 views
Domain & Range of Binary Relation
16264 views
Finding Domain and Range of Functions
4881 views
Finding Domain and Range from the graph of a function
More on Finding Domain and Range from the graph of a function
The Modulus of a Function
3806 views
2.2: Composition of Functions
Composition of a Functions
4293 views
Problem-Composition of Functions
1735 views
2.3: Inverse of Composition Functions (
Practice Test
)
Inverse of a Function
4588 views
More on Inverse of a Function
1843 views
Problem2-Inverse of a Function
1803 views
Algebraic Method to find the Inverse Function
1522 views
Problem-Algebraic Method to find the Inverse Function
1299 views
2.4: Transcendental Functions (
Practice Test
)
Algebraic Functions
9511 views
Trigonometric Functions
4057 views
Exponential Functions
2470 views
Logarithmic Function
2142 views
More on Logarithmic Function
1434 views
Law of Change of Base of Logarithm
6017 views
Problem-Law of Change of Base of Logarithm
2897 views
Product Law of Logarithm
3111 views
Problem-Product Law of Logarithm
2165 views
Power Law of Logarithm
2108 views
Problem-Power Law of Logarithm
1717 views
Quotient Law of Logarithm
2043 views
Problem-Quotient Law of Logarithm
2262 views
Hyperbolic Functions
Explicit and Implicit Functions
4467 views
Parametric Functions
1938 views
2.5: Graphical Representation of Functions (
Practice Test
)
Graph of the Exponential Function
1482 views
Problem1-Graph of the Exponential Function
788 views
More on Graph of Exponential Function
698 views
Problem1-More on Graph of Exponential Function
602 views
Graph of Common Logarithmic Function
771 views
Problem1-Graph of Common Logarithmic Function
573 views
Graph of Natural Logarithmic Function
636 views
Problem1-Graph of Natural Logarithmic Function
500 views
Graph of Parametric Equations
832 views
Problem1-Graph of Parametric Equations
631 views
Graphs of Discontinuous Functions
807 views
Problem1-Graphs of Discontinuous Functions
567 views
2.6: Limiit of a Function (
Practice Test
)
Presenting Real Number on Number Line
1004 views
Trichotomy Property of Inequality
4220 views
Problem1-Trichotomy Property of Inequality
662 views
Problem2-Trichotomy Property of Inequality
2442 views
Defining Interval
3091 views
Defining Closed, Open, Half Open and Half Closed Interval
3797 views
Meaning of the Phrase 'x' Approaches zero, Infinity
2801 views
Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
1672 views
Theorems on Limit of Functions
Defining Sequence and Limit of Sequence
2217 views
Bounded Set and Monotonic Sequence
856 views
Convergent and Divergent Sequence
950 views
Limit Theorem of Sequence
More on Limit Theorem of Sequence
Concept of a Limit of a Function
4475 views
Problem-Concept of Limit of a Function
2035 views
Evaluate Limits of Different Algebraic, Exponential and Trigonometric Functions
2.7: Important Limits (
Practice Test
)
Method for Evaluating the Limits at Infinity
2669 views
Problem-Method for Evaluating the Limits at Infinity
1474 views
Deducting Formulae at Limit Approaches to 0 and infinity
2093 views
Problem-Deducting Formulae at Limit Approaches to 0 and infinity
1263 views
2.8: Continuous and Discontinuous Functions (
Practice Test
)
One-Sided Limits
2112 views
Criterion for Existence of Limit of a Function
1874 views
Problem1-Criterion for Existence of Limit of a Function
1501 views
Using graph to estimate Limit
More on Using graph to estimate Limit
Continuity of a Function at a Number
2146 views
Test Continuity and Discontinuity of a Function at a Point in an Interval
Problem-Test Continuity and Discontinuity of a Function at a Point in an Interval
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