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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!} ________ ___ ______ _____ ____ ________ ____ __________ _______ _________.
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