Real Sequence/Examples/x^n over n Factorial

Examples of Real Sequence

The real sequence whose first few terms are:

$\dfrac x {1!}, \dfrac {x^2} {2!}, \dfrac {x^3} {3!}, \dfrac {x^4} {4!}, \dotsc$

can be defined by the formula:

$S = \sequence {\dfrac {x^n} {n!} }_{n \mathop \ge 1}$


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): sequence
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): sequence