Exercise 1.1
Exercise 1.2
Exercise 1.3
Exercise 1.4
Exercise 1.5
MCQ’s
Class 12th Math Unit 1 – “Functions and Limits” focuses on the foundational concepts of functions and the concept of limits in calculus. Key topics typically covered in this unit include:
- Definition of Functions: Understanding what a function is, including types of functions (e.g., one-to-one, onto, bijective) and their representations (graphical, tabular, and algebraic).
- Domain and Range: Exploration of how to determine the domain and range of various types of functions, including polynomial, rational, and trigonometric functions.
- Types of Functions: Discussion on specific types of functions such as linear, quadratic, exponential, logarithmic, and trigonometric functions, along with their properties and graphs.
- Composite Functions: Introduction to the concept of composite functions, including how to combine functions and find the composition of two or more functions.
- Limits: Understanding the concept of limits, including the notation and the graphical interpretation of limits. Discussion of limits approaching finite and infinite values.
- Properties of Limits: Examination of various properties and theorems related to limits, such as the limit of a sum, difference, product, and quotient of functions.
- Evaluating Limits: Techniques for evaluating limits, including direct substitution, factoring, and L’Hôpital’s rule for indeterminate forms.
This unit lays the groundwork for understanding the behavior of functions and is essential for further studies in calculus and mathematical analysis. If you need more specific details or additional topics, feel free to ask!