Asymptotic expansion (Taylor approximation)

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In many situations, the remainder term in the finite Taylor (Maclaurin) expansion is unimportant. To denote that some terms are not as important as others, we introduce a new notation of great convenience called the "little o." Using this little o notation, we define the asymptotic expansion, which is (almost) the same as the finite Taylor expansion except that the remainder term is replaced by the little o term.

  1. Brunei Math Club
  2. Mathematics
  3. Brunei
  4. Taylor expansion
  5. asymptotic expansion
  6. little o
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