Chapter: Representation of Functions as Taylor Series

Many functions, for example, the exponential function, sine and cosine can be expressed as infinite series. This chapter explores the expressibility of functions as infinite series in a systematic way, Brook Taylor (1685 - 1731).

  1. Proposition: Approximation of Functions by Taylor's Formula
  2. Proposition: Taylor's Formula with Remainder Term of Lagrange
  3. Theorem: Taylor's Formula

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