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# Maclaurin series

• Last Updated : 16 Jun, 2020

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 :

1. Exponential function : Differentiating n times, So we get Thus 2. f(x) = cos x …..
3. f(x) = sin x 4. f(x) = (ax + b)^m 5. f(x) = ln(1+x) 6. 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 – Attention reader! Don’t stop learning now. Get hold of all the important CS Theory concepts for SDE interviews with the CS Theory Course at a student-friendly price and become industry ready.

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