Limits
Maharashtra Board · Class 11 · Mathematics & Statistics
Quick revision notes for Limits — Maharashtra Board Class 11 Mathematics & Statistics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Definition and Basic Concepts of Limits
- A limit describes the value that a function approaches as the input approaches a certain value
- We write lim(x→a) f(x) = L, meaning f(x) approaches L as x approaches a
- The function need not be defined at x = a for the limit to exist
Algebra of Limits
- Limits follow algebraic properties similar to regular arithmetic
- Sum rule: lim[f(x) + g(x)] = lim f(x) + lim g(x)
- Product rule: lim[f(x) × g(x)] = lim f(x) × lim g(x)
Method of Factorization
- Used when direct substitution gives 0/0 form
- Factor numerator and denominator to find common factors
- Cancel common factors (valid since x ≠ a in limit process)
Method of Rationalization
- Used when expressions involve square roots or radicals
- Multiply by conjugate to eliminate radicals from numerator or denominator
- Conjugate of (a + b) is (a - b) and vice versa
Get complete notes with diagrams and examples
Full NotesKey Concepts
Get detailed revision notes for Limits
Super Tutor gives you interactive content for every chapter of Maharashtra Board Class 11 Mathematics & Statistics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Limits for Maharashtra Board Class 11 Mathematics & Statistics?
Limits covers several key topics that are frequently asked in Maharashtra Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Limits — Maharashtra Board Class 11 Mathematics & Statistics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More Resources for Limits
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually