Interactive Real Analysis
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Real Analysis
1. Sets and Relations
2. Infinity and Induction
3. Sequences of Numbers
4. Series of Numbers
5. Topology
6. Limits, Continuity, and Differentiation
6.1. Limits
6.2. Continuous Functions
6.3. Discontinuous Functions
6.4. Topology and Continuity
6.5. Differentiable Functions
6.6. A Function Primer
7. The Integral
8. Sequences of Functions
9. Historical Tidbits
Java Tools
Definition 6.3.1: Discontinuous function
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If a function fails to be continuous at a point
c
, then the function is called
discontinuous
at
c
, and
c
is called a
point of discontinuity
, or simply a discontinuity.
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