Continuity — Class 11 Maharashtra HSC Mathematics revision notes
A 4-page visual revision sheet for Continuity, written for Class 11 Maharashtra HSC Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Continuity sheet covers
- Continuity at a point x=a
- condition 1: f is defined at a, and on an open interval around it
- condition 2: the limit as x approaches a exists
- condition 3: that limit equals the function's own value at a
- What an unbroken curve looks like
- Continuity from the left and from the right
- Worked: continuity of a three-piece function
- Functions that are always continuous
- constant and power functions
- every polynomial
- sin x and cos x
- exponential and logarithm
- Properties of continuous functions
- Three ways continuity fails at x=a
- Worked: identifying a removable discontinuity
- Worked: identifying a jump discontinuity
- The Intermediate Value Theorem
- Worked: locating a root with the Intermediate Value Theorem
- Types of discontinuity at x=a, side by side
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Continuity the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.
More Mathematics Class 11 revision notes
- Angle and its Measurement
- Circle
- Complex Numbers
- Conic Sections
- Determinants and Matrices
- Differentiation
- Functions
- Limits
- Measures of Dispersion
- Methods of Induction and Binomial Theorem
- Permutations and Combination
- Probability
- Sequences and Series
- Sets and Relations
- Straight Line
- Trigonometry - 1
- Trigonometry - 2