Maclaurin series Last Updated : 16 Jun, 2020 Improve Improve Like Article Like Save Share Report Prerequisite – Taylor theorem and Taylor series We know that formula for expansion of Taylor series is written as: Now if we put a=0 in this formula we will get the formula for expansion of Maclaurin series. T hus Maclaurin series expansion can be given by the formula – Maclaurin series expansion of some elementary functions : Exponential function : Differentiating n times, So we get Thus f(x) = cos x ….. f(x) = sin x f(x) = (ax + b)^m f(x) = ln(1+x) f(x) = ln(1-x) Example-1: Find the first seven terms of f(x) = ln(sec x). Explanation : Differentiating w.r.t. x, Thus we get the Maclaurin series as – Example-2: Evaluate Maclaurin series for tan x. Explanation : Thus we get Maclaurin series as – Like Article Suggest improvement Previous Fourier Series Formula Next Equation of a Straight Line Share your thoughts in the comments Add Your Comment Please Login to comment...