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Continuity

Maharashtra Board · Class 11 · Mathematics & Statistics

Complete topic list for Continuity in Maharashtra Board Class 11 Mathematics & Statistics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions5 concepts

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4 Topics · Maharashtra Board Class 11 Mathematics & Statistics

Topics in Continuity

1

Definition and Conditions for Continuity

  • A function f(x) is continuous at x = a if three conditions are satisfied simultaneously
  • Continuity means the graph has no breaks, holes, or jumps at that point
  • Left-hand limit must equal right-hand limit and both must equal the function value
2

Types of Discontinuities

  • Jump discontinuity occurs when left and right limits exist but are different
  • Removable discontinuity can be 'fixed' by redefining the function at one point
  • Infinite discontinuity occurs when function approaches ±∞
3

Continuity Problem-Solving Techniques

  • Systematic approach: check definition, calculate limits, compare values
  • For piecewise functions, focus on boundary points where definition changes
  • Use algebraic manipulation to resolve indeterminate forms
4

Continuity Over Intervals

  • Continuity on open interval (a,b) means continuous at every point inside
  • Continuity on closed interval [a,b] requires right-continuity at a and left-continuity at b
  • Half-open intervals need appropriate one-sided continuity at endpoints

Key Concepts

A function f(x) is continuous atRight continuityOccurs when lim(x→a) f(x) exists butOccurs when both left and rightOccurs when function approaches ±∞ as

Frequently Asked Questions

What are the important topics in Continuity for Maharashtra Board Class 11 Mathematics & Statistics?
Continuity 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 Continuity — 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.

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All 18 chapters — Maharashtra Board Class 11 Mathematics & Statistics Syllabus

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