Continuity and Differentiability
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Continuity of a Function
- continuity
- discontinuity and its types
- directional continuity
- continuity in an interval
- continuity of functions obtained by algebraic operations
Continuity of Specific Functions
- continuity involving the greatest integer function
- signum function
- limit at infinity
- functions defined differently for rational and irrational values
- continuity of composite functions
Intermediate Value Theorem
- statement and applications
Differentiability
- definition
- differentiability and continuity
- reasons for non-differentiability
- differentiability in an interval
Examining Differentiability
- differentiability using differentiation and graphs
- differentiability of functions obtained by algebraic operations
- continuity of the derivative
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- 18 subtopics
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A teacher who doesn’t fully own a chapter teaches it half-convincingly, and you absorb the hesitation.
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