2. Pure Calculus

Series Approximations — Quiz

Test your understanding of series approximations with 5 practice questions.

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Practice Questions

Question 1

Which of the following functions can be represented by a Maclaurin series?

Question 2

What is the primary difference between a Taylor series and a Maclaurin series?

Question 3

For what values of $x$ does the Maclaurin series for $e^x$ converge?

Question 4

Which of the following is the Maclaurin series expansion for $\sin(x)$?

Question 5

What is the radius of convergence for the Taylor series of $f(x) = \frac{1}{1-x}$ centered at $a = 0$?