Grade 12 · Algebra & functions

Maclaurin series practice

Maclaurin series is a grade 12 math skill: construct and use Maclaurin series expansions of common functions. Below are 3 practice questions with answers and step-by-step explanations, drawn from the 5 maclaurin series problems our math games drill.

5 questions in the bank

Sample questions

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Question 1easy

The Maclaurin series for $\cos x$ starts with:

$\cos x = 1 - \dfrac{x^2}{2!} + \dfrac{x^4}{4!} - \cdots$

Question 2easy

The Maclaurin series for $\dfrac{1}{1-x}$ is:

$\dfrac{1}{1-x} = 1 + x + x^2 + x^3 + \cdots$ for $|x| < 1$ .

Question 3easy

The Maclaurin series for $\ln(1+x)$ starts with:

$\ln(1+x) = x - \dfrac{x^2}{2} + \dfrac{x^3}{3} - \cdots$

More Grade 12 skills:

Inverse trig domain and range Polar and rectangular conversion Degree-radian conversion Special limits Convergence tests Standard antiderivatives Calculus application formulas Law of sines and cosines All Grade 12 practice →

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