Limits And Continuity
Telangana Open School (TOSS) · Class 12 · Mathematics
Quick revision notes for Limits And Continuity — Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Understanding Limits
- A limit describes the value a function approaches as the input approaches a certain point.
- The limit exists only if the left-hand limit (LHL) and right-hand limit (RHL) are equal.
- The value of the function at the point is not necessary for the limit to exist.
Continuity of Functions
- A function is continuous at a point if the limit exists and equals the function's value at that point.
- Discontinuities can be removable, jump, or infinite, each with distinct graphical features.
- Polynomial, trigonometric, exponential, and logarithmic functions are continuous in their domains.
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