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We are asked to use Maclaurin’s series to approximate the value of $$ 4 \sin\left(\frac{\pi}{4}\right) $$ with an error bound ≤ $5 \times 10^{-5}$. --- ### ✅ Step 1: Maclaurin Series Expansion for sin x The Maclaurin series for $\sin x$ is: $$ \sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots $$ --- ### ✅ Step 2: ___ __________ _______ ______ _________ _________ ______ ___ ______.
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