Maclaurin Series
Definition
A Maclaurin series is a special case of Taylor series expansion, where the expansion is centered around x = 0 (or when h = 0).
Related terms
Binomial Series: A specific type of Maclaurin series that involves binomial coefficients and powers of x.
Taylor Polynomial: An approximation of a function using only a finite number of terms from its Taylor series.
Infinite Series: A sum of infinitely many terms, which may or may not converge to a finite value.
"Maclaurin Series" appears in:
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Practice Questions (12)
Which term is crucial in determining the Maclaurin series for a function?
What is the Maclaurin series for e^x?
What is the Maclaurin series for sin(x)?
What is the Maclaurin series for cos(x)?
What is the Maclaurin series for ln(1 + x)?
What is the Maclaurin series for (1 + x)^k?
Which of the following is the first term of the Maclaurin series of $6xe^x$?
What is the relationship between a Taylor series and Maclaurin series?
What is the Maclaurin series for $\frac{d}{dx}e^{4x}$?
Find the Maclaurin series for $e^{3x^2}$.
What is the Maclaurin series for $\frac{d}{dx}cos(5x)$?
What are the first three terms of the Maclaurin series for $e^{sin(x)}$?
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