Question
Using Maclaurin's expansion for sin x, find the approximate value of with the error 4 bound 10-5
Answer :
Word Count : 227
To approximate \(\sin \frac{\pi}{4}\) using the Maclaurin series expansion, we use: \[ \sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \dots \] ### Step 1: Identify Given Values We are given \( x = \frac{\pi}{4} \) and need to approximate \( \sin \frac{\pi}{4} \) with an error bound of \( 10^{-5} \). ### _______ ______ ____ ____ __________ ____ _____ ____ __________.
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To approximate \(\sin \frac{\pi}{4}\) using the Maclaurin series expansion, we use: \[ \sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \dots \] ### Step 1: Identify Given Values We are given \( x = \frac{\pi}{4} \) and need to approximate \( \sin \frac{\pi}{4} \) with an error bound of \( 10^{-5} \). ### _______ ______ ____ ____ __________ ____ _____ ____ __________.
______ ________ _____ ________ _____ __________.
___ ___ _____ __________ ________ ____ _________ _________ _______ ______ _________.
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______.
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