Use this tag only when your query is about sequences of functions. Don't use this tag for any other sequence such as sequences of real numbers or sequences of complex numbers etc.

A sequence of functions is denoted as $\{ f_n \}$ or $(f_n)$. For example,

  1. $f:\Bbb R \to \Bbb R$ defined by $f_n(x)=\frac {1}{1+nx^2}$
  2. $f:\Bbb R \to \Bbb R$ defined by $f_n(x)=e^{-nx^2}$
  3. $f:\Bbb C \to \Bbb C$ defined by $f_n(z)=\frac {\sin nz}{\sqrt n}$

are sequences of functions. Usually our first encounter with them is to study their nature of convergence.

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