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
7. The Integral
8. Sequences of Functions
8.1. Pointwise Convergence
8.2. Uniform Convergence
8.3. Series and Power Series
8.4. Taylor Series
8.5. Approximation Theory
9. Historical Tidbits
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Definition 8.1.3: Function Sequence
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A
family of functions
where the parameter set is the set of natural numbers is called a
sequence of functions
. We write it as
{ f
n
(x) }
.
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