Probability, Random Variables, and Random Processes: Theory and Signal Processing Applications

E.6 SERIES EXPANSIONS AND CLOSED-FORM SUMS

• Exponential:

  (E.24)

  We also include the useful result:

  (E.25)

• Trigonometric:

  (E.26)

• Natural logarithm:

  (E.27)

• Sum of powers:

  (E.28)

  (E.29)

  (E.30)

  (E.31)

  (E.32)

• Finite sums:

  (E.33)

  (E.34)

  (E.35)

  (E.36)

  (E.37)

  L'Hôpital's rule can ...