QQuestion
Question
Find the nth Maclaurin polynomial for the function.
Function: f(2$) = sin(2$)
Degree: n = 3
P^3(x )= ___
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Answer
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Step 1I'll solve this step-by-step using the Maclaurin series for sin(x).
Step 2: Recall the Maclaurin series for sin(x)
The Maclaurin series for $$\sin(x)$$ is:
\sin(x) = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} + \cdots
Final Answer
P_{3}(x) = x - \frac{x^{3}}{6}
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